A non‐intrusive reduced‐order model for nonlinear parametric flow problems is developed. It is based on extracting a reduced‐order basis from high‐order snapshots via proper orthogonal decomposition and using multi‐layered feedforward artificial neural networks to approximate the reduced‐order coefficients. The model is a generic and efficient approach for the reduction of time‐dependent parametric

A spectrally accurate and very efficient algorithm suitable for prediction of pressure losses in heated grooved channels has been developed. Heating and topography patterns are used to create spatial flow modulations resulting in a pattern interaction problem. Search for combinations of patterns resulting in the reduction of pressure losses requires development of a very accurate and efficient algorithm

A mixed least‐squares finite element model with spectral/hp approximations was developed to analyze a three‐dimensional natural convection of non‐Newtonian fluid, which obeys the Carreau‐Yasuda constitutive model. The finite element model consists of velocity, pressure, stress, temperature, and heat flux as the field variables. The least‐squares formulation provides a variational framework for the

A new simple and generic framework is proposed to construct non‐linear weights for third‐order WENO reconstructions. It is done by imposing necessary conditions on non‐linear weights to get a non‐oscillatory WENO scheme. These conditions give further insight into the required structure of non‐linear weights to design third order WENO schemes. This new framework for WENO weights is completely different

Several typesetting errors have been identified in Algorithm 1 of the article “An efficient quasi‐Newton method for two‐dimensional steady free surface flow” (DOI: 10.1002/fld.4806), published in Wiley Online Library on 17 January 2020 and in International Journal for Numerical Methods in Fluids, 92, 785–801. In Algorithm 1, the “<” signs on the 3rd and 4th lines and the first “<” sign on the 8th line

For most finite element simulations, boundary‐conforming meshes have significant advantages in terms of accuracy or efficiency. This is particularly true for complex domains. However, with increased complexity of the domain, generating a boundaryconforming mesh becomes more difficult and time consuming. One might therefore decide to resort to an approach where individual boundary‐conforming meshes

Amultiscale computational scheme is developed to use given small micro‐scale simulations of complicated physicalwave processes to empower macro‐scale system‐level predictions. By coupling small patches of simulations over unsimulated space, large savings in computational time are realisable. Here we generalise the patch scheme to the case of wave systems on staggered grids in 2D space. Classic macro‐scale

The Reynolds‐Averaged Navier‐Stokes equations and the Large‐Eddy Simulation equations can be coupled using a transition function to switch from a set of equations applied in some areas of a domain to the other set in the other part of the domain. Following this idea, different time integration schemes can be coupled. In this context, we developed a hybrid time integration scheme that spatially couples

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