The general pressure equation (GPE) based method is fully explicit, and the method does not require either solving the pressure Poisson equation nor executing sub-iteration for incompressible flow simulation. However, few numerical validations of GPE method are available, especially under complex flows like turbulence. In this work, GPE is used to conduct direct numerical simulations of the turbulent lid-driven cavity (LDC) flow at $${\text {Re}}=3200$$ Re = 3200 and fully developed turbulent flow through a square duct at $${\text {Re}}_{\tau }=360.$$ Re τ = 360 . Predicted turbulence statistics are compared with existing numerical and experimental data, providing an excellent quantitative agreement. The intricate flow patterns such as the Taylor–Görtler-like vortices in LDC flow and the mean secondary flow at the cross-section in the square duct are captured, showing both qualitative and quantitative agreements with measurements. Results from the present study indicate the capability of the GPE method for accurate incompressible turbulent flow calculation.

中文翻译：

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使用一般压力方程模拟壁面有界湍流

基于通用压力方程（GPE）的方法是完全显式的，该方法既不需要求解压力泊松方程，也不需要执行不可压缩流动模拟的子迭代。然而，很少有 GPE 方法的数值验证可用，尤其是在湍流等复杂流动下。在这项工作中，GPE 用于在 $${\text {Re}}=3200$$ Re = 3200 处对湍流盖驱动腔 (LDC) 流动进行直接数值模拟，并在$${\text {Re}}_{\tau }=360.$$ Re τ = 360 。将预测的湍流统计数据与现有的数值和实验数据进行比较，提供了极好的定量一致性。捕获了复杂的流动模式，例如 LDC 流中的 Taylor-Görtler 状涡流和方形管道横截面的平均二次流，显示出与测量的定性和定量一致。本研究的结果表明 GPE 方法能够准确计算不可压缩湍流。