A novel hybrid polygonal finite element is proposed for simulating the heat conduction in two-dimensional cellular materials based on the hybrid fundamental-solution-based finite element method (HFS-FEM). The proposed method assumes two independent temperature fields in the domain and boundary of the element, respectively. The intra-element temperature field is approximated by a combination of fundamental

Radiative intensity with high directional and spatial resolutions can provide abundant useful information for combustion diagnosis systems based on radiative images. In this paper, an angular-spatial upwind element differential method (ASUEDM) is developed to discretize angular direction and spatial domain of radiative transfer equation (RTE) in a spherically participating medium. Because of the strong

The amyloid-beta peptide is a peptide that consists of 42 amino acids and is derived from the precursor protein known as an amyloid-beta precursor protein (APP). The amyloid-beta precursor protein is a glycoprotein that is a single-pass transmembrane transporter that only crosses the membrane once. On chromosome 21, you will find the gene that codes for amyloid-beta precursor protein. Because of its

This paper studies a class of rational Levin quadrature rules for numerical evaluation of highly oscillatory integrals. The nonlinear transformation is utilized to modify the classical Levin quadrature for nearly singular highly oscillatory integrals. Then the proposed quadrature is employed to develop a class of composite quadrature rules for calculation of the highly oscillatory integral with weakly

The effects of using hybrid nanofluids and of helical coil pitch (λ) in a 3D shell and tube heat exchanger (STHE) are investigated. The algorithm used in this study is Phase Coupled SIMPLE and the method used is Eulerian. Nanofluid flow with Reynolds (Re) numbers of 10,000, 15,000, and 20,000, nanoparticles with volume fractions (ϕ) of 2 and 4%, and λ = 20, 25, 40, and 50 mm are investigated. The highest

The cell-based smoothed radial point interpolation method in conjunction with a second order cone programming is proposed for kinematic limit analysis of rigid-perfectly plastic thin plates in this paper. The transverse displacement field is interpolated by the radial point interpolation method (RPIM) and no rotational degrees of freedom are involved. The gradient smoothing technique is utilized to

The free vibration of multiple-nanobeam system is studied for various edge boundary conditions and number of coupled nanobeams. The size effect is captured using the Eringen's nonlocal elasticity theory. The governing equations of the beams which are coupled in the multiple-nanobeam system are obtained by Timoshenko beam theory. The vibration of multiple-nanobeam system with the number of m coupled

Image noise removal is one of the most important parts of image processing that can dramatically improve other parts of image processing performance by enhancing the quality of images in databases. Total variation models are second-order partial differential equations for image denoising. These models have some complexities, such as being multidimensional problems, non-linearity, and having large spatial

For the single-resolution particle method, large computation demand with high accuracy commonly requires enormous number of particles, which becomes greatly time-consuming. The moving particle semi-implicit (MPS) method with variable-size particles (VSP) has been proposed to refine particles in local domain. However, in VSP-MPS method, the refined area is fixed in the calculation, which makes it difficult

Using the meshless collocation method, a scheme for solving nonlinear variable-order fractional diffusion equations with a fourth-order derivative term is presented. Here the fractional derivative term is approximated by weighted and shifted Grünwald difference (WSGD) approximation formula. The difficulty caused by the nonlinear terms is carefully handled by quasilinearization technique. Using the

This paper is concerned with the development of a new compact 9-point stencil, based on integrated-radial-basis-function (IRBF) approximations, for the discretisation of the first biharmonic equation in two dimensions. Derivatives of not only the first order but also the second order and higher are included in the approximations on the stencil. These nodal derivative values, except for the boundary

This article is mainly devoted to the research of dielectric breakdown phenomenon during high power microwave propagation. Under the force of the high-intensity fields, bound charges break free and a part of an insulator becomes electrically conductive, which may lead to electrical breakdown and thermal breakdown in high power microwave (HPM) devices or on the output window. A three-dimensional (3D)

This paper investigates the free lateral vibration of a cracked nano-beam to piezoelectric effects on Euler-Bernoulli beam theory and nonlocal strain gradient theory (NSGT). So far, the propagation and growth of cracks in nano-beams have not been done by modeling the crack area using torsion springs using NSGT. This article investigates the free vibrations of cracked nano-beams using piezoelectric

We fabricated an effective target recognition network-based on the convolutional neural network and the perturbation Shooting and Bouncing Rays algorithm for electrically large targets having varying geometrical shapes. The algorithm started by constructing a relationship between the local random variables and target's geometry by using the non-uniform rational B-spline surface modeling method. Inverse

In this paper, the space-time generalized finite difference method (ST-GFDM) with supplementary nodes is applied to solve the thin elastic plate bending under dynamic loading. The proposed method treats the temporal dimension as another spatial dimension, thus the d-dimensional problem in space can be viewed as a new (d+1)-dimensional problem in the space-time domain. This method effectively reduces

This paper presents static analysis of a double-plate system using the boundary element method. The system is composed of two parallel plates with an elastic layer in between. The plates are assumed to be represented by the Kirchhoff plate model and the elastic layer is treated as a Winkler elastic foundation. The mathematical steps required to establish a boundary element technique are adequately

Concrete gravity dams are susceptible to sudden failure under specific dynamic loading conditions such as earthquakes. In the present study, the authors explore an integrated experimental-numerical approach to identify the susceptible regions in a concrete gravity dam and characterize the localized crack patterns originating from these critical sections. A laboratory-scaled prototype dam model is prepared

In the present paper, for the first time, theoretical analysis for static, dynamic, and transient responses of micro-plates made of different materials were comprehensively performed. The constitutive relations of analyzed materials satisfy assumptions of the modified couple stress theory. Additionally, values of length scale parameters of studied materials are taken from well-established experimental

The dual interpolation boundary face method with Hermite-type moving-least-squares approximation (DiBFM-HMLS), presented recently, has certain advantages in simulating the discontinuous fields. Based on the DiBFM-HMLS and the matrix condensation technique, we proposed a multi-domain method for 3D elasticity problems in this paper. This method ensures an accurate interpolation for the multi-domain models

Strict standards in medical complexes forced the air conditioning designers to approve a system that adjusts temperature and CO2 levels. In this study, medical complex energy analysis was discussed by introducing two cases, i.e., internal and external improvers. Using numerical approaches the energy analysis was performed and consequently using CFD-based approaches, the internal temoerature distribution

In the current computational work, the atomic behaviour of Hydrogen (H) atoms (as fluid) inside 2D Platinum (Pt) nanochannel (NC) in the presence of obstacles is described using molecular dynamics simulation (MDS) for clinical applications. This simulation method is reported by temperature (T), total energy, profiles of density/velocity/T and interaction energy of simulated compounds. Computationally

Multiphase flow is a challenging area of computational fluid dynamics (CFD) due to their potential large topological change and close coupling between the interface and fluid flow solvers. As such, Lagrangian meshless methods are very well suited for solving such problems. In this paper, we present a new fully explicit incompressible Smoothed Particle Hydrodynamics approach (EISPH) for solving multiphase

This paper deals with a new version of the local singular boundary method (LSBM), which will allow the use of irregular node distribution and any shape of the solved area. Unlike previous modifications, it does not impose any requirements on the number of nodes in the support or the number of virtual points. Moreover, it uses radial basis functions for interpolation, not the weighted squares method

Isogeometric analysis (IGA) in the framework of the boundary element method (BEM) – known as isogeometric boundary element analysis or IGABEM – has shown recently respectable performance in the field of acoustics and handling the time harmonic wave propagation equation of Helmholtz. However, IGABEM still requires fine meshes to handle the cases of very high frequencies due to the large number of elements

This work aims to evaluate dynamic stability of micro-shell panels enriched by nanocomposites based on an analytical approach. In order to capture the effects of size on the mechanical behaviour of the micro-shell panels, the modified couple stress theory is employed which uses the material length scale parameter. The fundamental equations incorporating kinematic, constitutive, equilibrium and compatibility

The advent of Isogeometric analysis enabled advances towards the straightforward connection between geometric design and mechanical modelling phases. 3D approaches of the Isogeometric Boundary Element Method (IGABEM) stand out in this context, because it requires information only from the boundary as well as the Computer-Aided Design (CAD) models. Thus, the 3D IGABEM best fulfils the isogeometric paradigm

Pasting porous material on the inner surface of a tire is an effective means to mitigate the tire cavity resonance noise. However, its performance is highly related to the material properties and geometry. This paper proposes an eigenvalue analysis approach based on the multi-domain boundary element method (MBEM) to evaluate this performance and further help determine the optimal parameters of the

In acoustic analyses the standard radial point interpolation meshless method (RPIM) is able to outperform the classic finite element method (FEM) because the numerical dispersion can be significantly mitigated by increasing the size of the interpolation domain. However, this operation usually leads to a surge in computational cost. In this work an enriched RPIM (e-RPIM) is developed by using the general

Numerical simulation and artificial neural network modeling of turbulent flow inside a pipe equipped with two spring turbulator samples with two different scales and a segmental cross-section have been investigated. Increased heat transfer rate (HTR) due to the use of a spring turbulator is predicted for the TiO2Cu-Water hybrid nanofluid based on the single-phase model, feed-forward artificial neural

Basic equations of electromagnetic are Maxwell equations. In this manuscript, ADI-IRBF-GMLS is employed for solving the time-dependent Maxwell equations in two-dimension. For approximating the time variable, we utilize alternative direction implicit (ADI) method and integrated radial basis function based on generalized moving least squares (IRBF-GMLS) method is used for space direction. Alternative

A topology optimization (TO) algorithm for periodic mechanical structures with orthotropic materials is established by using the element-free Galerkin method (EFGM) and imposing periodic constraints on design subdomains. The effectiveness of the presented TO algorithm is verified by two numerical examples compared with the finite element method (FEM). The comparisons demonstrate that the EFGM periodic

Radial Basis Functions (RBFs) have shown the potential to be a universal mesh-free method for solving interpolation and differential equations with highly accurate results. However, the trade-off principle states that while deciding the shape parameter’s value for an RBF such as Multiquadric (MQ) or Gaussian (GA), a compromise must be made between achieving accuracy and stability because of the resultant

The meshless Diffuse Approximate Method (DAM) is for the first time formulated and applied to simulate the compressible Newtonian flow of an ideal gas in an axisymmetric tube with varying cross-sections. The problem is structured by coupled partial differential equations for conservation of mass, momentum and energy, and the equation of state closure. These equations are solved in primitive variables

Since the explicit weight function and polynomial local approximation functions are used in the high order numerical manifold method (HONMM) with triangular mathematical covers (MCs), the simplex method is a convenient way for the integration in this method. However, this method cannot be used when the integrand function is non-polynomial. So, in the current paper by examining some of the existing

This work proposes a novel meshless symplectic and multi-symplectic approximation for Klein–Gordon–Schrödinger system. The main features of this method are: (I) the application of local radial basis function (RBF) collocation method (LRBFCM) in spatial discretization; (II) the application of symplectic integrator in time discretization. LRBFCM method can deal with the ill-conditioned problem and shape-parameter

The main aim of this paper is to develop a new framework of a meshless approximation for solving numerically three nonlinear partial differential equations in biology, i.e., the chemotaxis models defined on the smooth, closed manifolds embedded in R3. The radial basis function-generated finite difference scheme is considered to deal with the spatial variables, which depends only on the location of

In this paper, a numerical methodology based on a two-and-a-half-dimensional (2.5D) singular boundary method (SBM) to deal with acoustic radiation and scattering problems in the context of longitudinally invariant structures is proposed and studied. In the proposed 2.5D SBM, the desingularisation provided by the subtracting and adding-back technique is used to determine the origin intensity factors

The coupled dynamics of a double beam system connected via an elastic layer is investigated. The double beam is reinforced with bidirectional functionally graded carbon nanotubes. Independent transverse and axial motions for each beam, as well as their couplings, are considered in the model. The two interconnected beams are functionally graded with patterns of UD, FGV, FGO, and FGX in the thickness

In this article, a local meshless technique is applied for numerical simulation of multi-dimensional Galilei invariant fractional advection–diffusion model on regular and irregular computational domains. In the suggested method, a second-order Crank–Nicolson scheme along with the second-order weighted and shifted Grünwald difference (WSGD) formula, is used to discretize the time derivatives of the

A simple meshfree method is developed in the context of Trefftz approaches to solve bending problem of arbitrarily shaped laminated composite and isotropic plates. Widely used deformation theories including classical plate theory, first-order and third-order shear deformation theory are adapted to the method, so the solution range contains thin to thick plates without any restrictions on geometry,

There are many materials that the linear elasticity theory cannot predict their mechanical behavior against applied loads. This research proposes a comprehensive theoretical method to obtain the mechanical response of hyperelastic models (with nonlinear elastic deformations) such as polymers and rubbers. They are vital in the design phase of complicated engineering structures like engine mounts and

The buckling behavior of nanowires (NWs) has been of focus of attention of the applied mechanics community during the past decade; however, their spatial buckling under the action of both axial force and twisting moment has not been methodically formulated yet. To bridge this scientific gap, the authors eagerly investigate the problem accounting for surface energy based on the Euler–Bernoulli and Timoshenko

In this paper, a homogenization method based on peridynamics is proposed, in which the rotation effect of bond is considered and the limitation of Poisson's ratio is overcome. Integral form is used as governing equation instead of differential form in peridynamics, so that it is suitable to conduct homogenization analysis involving defects. Two algorithms, general algorithm and simplified algorithm

One of the key ways to improve energy storage performance is to use advanced materials and elements in building coatings. Dense exterior walls with high thermal insulation properties and absorbent and heat-retaining elements can be made by intelligently combining products to store latent heat based on PCMs. In the present study, the thermal behaviour of glass in the presence of PCM (Decane) has been

The impact of an array of porous breakwaters for reducing wave forces on a floating dock is studied based on the small-amplitude water wave theory in finite water depth. The breakwater is approximated by a porous bottom-standing rectangular structure and an impermeable floating rectangular structure is placed at a finite distance on the lee-side representing a dock. The physical problem is solved analytically

In this paper, the cell-based smoothed finite element method (CS-FEM) empowered by the discrete phase model (DPM) is developed to solve dilute solid particles movements induced by incompressible laminar flow. In the present method, the fluid phase is solved by CS-FEM in the Eulerian framework, while particles are treated as discrete phases traced using Newton's second law in the Lagrangian framework

River scouring is the primary cause of impulsive riverbank failure. Its direct effect is to cause catastrophic changes in the structure of the riverbank slope, which then leads to riverbank collapse. However, its internal evolution mechanism is unclear. To solve this problem, a continuous-discontinuous deformation analysis method that can reveal the evolution mechanism has been developed based on the

This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of the problem for various boundary conditions is generated according to the energy method. Then, the results

This study explores the thermo-viscoelasticity response of annular disks made of a functionally graded graphene platelet reinforced composite (FG-GPLRC). Random orientation is considered for GPL nanofillers. A power-law model with a controller index is also used to determine the GPL volume fraction distribution along the radial direction. The effective thermomechanical properties of the nanocomposite

The cooling performance of biological water-silver nanofluid (NF) in three double-pipe heat exchangers with converging sinusoidal inner wall (SCDHX), converging inner wall (CDHX), and plain inner wall (PDHX) was examined numerically using the first and second laws of thermodynamics. The two-phase mixture model is employed to conduct the simulations. Based on the results, the sinusoidal wall increases

This paper presents the numerical simulations and machine learning-based prediction of the transient melting process of phase change material (PCM) in latent heat thermal storage (LHTS) units. The storage units are rectangular enclosures equipped with fins of different heights and numbers. For all enclosures, the volume of fins and PCM are kept constant. Melting processes of PCM in different storage

The surface effect of peridynamics seriously affects the accuracy of numerical results near the boundary. The fictitious node method can modify the surface effect of peridynamics, but the previous method (Le and Bobaru, 2018) is only applicable to problems with only stress boundary conditions. This paper proposes an extended fictitious node method for deriving the fictitious node displacement constraint

Present research evaluates a wide range of methods to boost the performance of microchannel via ANN & lattice Boltzmann method (LBM). Hence Artificial Nueral Network method by Levenberg–Marquardt algorithm is applied to find all the data in the specific domain. LBM is developed to join with the artificial neural network (ANN) to study the effects of magneto hydro dynamic (MHD) on the slip velocity

In the current research, we described atomic vacancy defect influence on nanopumping performance of CNT structure with molecular dynamics (MD) method (for the first time). In our simulations, CNT structure is defined in the presence of C20 molecule and Au tips in the nanopumping process. Temperature and potential energy convergence after 1 ns indicated the atomic stability in defined systems, which

Introducing artificial damping into the momentum equation to enhance the numerical stability of the smoothed particle hydrodynamics (SPH) method for large strain dynamics has been well established, however, implementing appropriate damping term in the constitutive model as an alternative stabilization strategy in the context of the SPH method is still not investigated. In this paper, we present a simple

The nonlinear wave phenomenon constitutes a significant research field and is a capable mathematical model for representing the transmission of energy in physical processes. This paper concentrates on the numerical solution for the nonlinear regularized long-wave and nonlinear extended Fisher–Kolmogorov models in two-space dimension. The solutions of these models are approximated via the finite difference

In this paper, the space-time generalized finite difference scheme is proposed to effectively solve the unsteady double-diffusive natural convection problem in the fluid-saturated porous media. In such a case, it is mathematically described by nonlinear time-dependent partial differential equations based on Darcy's law. In this work, the space-time approach is applied using a combination of the generalized

Lattice structures fabricated by additive manufacturing (AM) technology have many excellent properties, such as lightweight, high strength, energy absorption, and vibration reduction, which have been extensively researched and made a breakthrough. Lattice structures have been commonly used in aviation, bioengineering, robotics, and other industrial fiber because of their outstanding properties. The

The accuracy and efficiency of the finite element method-finite element method (FEM-FEM) for 3D vibro-acoustic problems degrade gradually with the increase of the excitation frequency due to the “dispersion error”. In this study, a novel efficient 3D vibro-acoustic analysis method, the partition of unity finite element method-finite element method (PUFEM-FEM), is proposed based on the PUFEM applicable

In this paper, the effect of using an elliptical chamber around a battery pack with three lithium-ion battery cells is studied numerically. The cylindrical batteries are located in the middle of the oval chamber, and the elliptical chamber, which is full of Phase-Change Materials (PCM), is inside an air duct. Numerical solution was performed using finite element method and the obtained values were