Evaluation of an effective and robust implicit time-integration numerical scheme for Navier-Stokes equations in a CFD solver for compressible flows
作者：
Highlights：
• The present work discusses the implementation of a robust implicit solver on an in-house CFD solver, which calculates 3D compressible flows on unstructured grids.
• The several techniques are discussed that have been applied to calculate the upwind formulation, including convective fluxes, viscous fluxes, and limiter functions, and to solve the sparse matrix.
• The implicit code is compared with the explicit solver, implemented earlier by Tomita, and achieved an accelerated convergence rate that was 2.9 times faster than an explicit RK scheme and 1.8 times faster than an explicit RK with Implicit Residual Smoothing scheme.
• The implicit solver demonstrated robustness and accuracy to predict a laminar flow over a flat plate case when the numerical solution found was compared with the Blasius analytical solution.
摘要
•The present work discusses the implementation of a robust implicit solver on an in-house CFD solver, which calculates 3D compressible flows on unstructured grids.•The several techniques are discussed that have been applied to calculate the upwind formulation, including convective fluxes, viscous fluxes, and limiter functions, and to solve the sparse matrix.•The implicit code is compared with the explicit solver, implemented earlier by Tomita, and achieved an accelerated convergence rate that was 2.9 times faster than an explicit RK scheme and 1.8 times faster than an explicit RK with Implicit Residual Smoothing scheme.•The implicit solver demonstrated robustness and accuracy to predict a laminar flow over a flat plate case when the numerical solution found was compared with the Blasius analytical solution.
论文关键词：Computational fluid dynamics,Implicit solver,Defect-correction,Gauss-Seidel,Jacobian flux,Roe’s scheme
论文评审过程：Received 8 October 2020, Revised 6 August 2021, Accepted 16 August 2021, Available online 5 September 2021, Version of Record 5 September 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126612
