Homework2: 2D FVM Compressible CFD Solver for multiblock structured mesh

[hejob]

2D FVM Compressible CFD Solver for multiblock structured mesh in Taichi language

Github repo传送

主要目标

• 尝试Taichi语言的特性，如向量化，data oriented feature，自动并行，meta programming等
• 构建FVM形式的CFD求解器的startup framework
• 主要基于可压缩流体
• FVM及支持多块网格，以用于更复杂的边界外形和网格变形

Features

• FVM, structured
• Euler and Navier-Stokes equations (WIP, laminar diffusion coefficients, validation still needed with test cases)
• Convection Riemann solvers: van Leer / modified Roe / Roe-RHLL methods (Validation still needed)
• Interpolation / cell integration with adjacent cells (Currently simple 1st to quasi-2nd order)
• RK3 time marching
• Dual time marching with RK3 (WIP, convergence problems exist and validations are needed)
• Virtual votexes
• Interconnection boundary data transfer between block surfaces
• Simple GUI and plot output on-the-fly

测试用例

supersonic wedge

blunt shock wave around cylinder

forward-facing step

后续问题及感想

• Bug fixes
• Can Taichi’s autodiff feature be applicated on FVM?
• 高阶方法，Multigrid，Implict等实现
• Unstructured mesh FVM
• Levelset, multiphase simulations, fluid-solid interactions, etc.

关于Taichi的语法，文档及使用上遇到的问题，之后再总结

Bibliography

[1] Hiroaki Nishikawa and Keiichi Kitamura. Very simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers. Journal of Computational Physics 227 (2008) 2560–2581

[2] Jameson, Antony. (1991). Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings. 10.13140/2.1.2459.3608.

[3] Celik, Bayram & Turk, Adem. (2017). A 2-D Finite Volume Navier-Stokes Solver for Supersonic Flows. Anadolu University Journal of Science and Technology A- Applied Sciences and Engineering. 18. 10.18038/aubtda.298656.

[yuanming]

又冒出来一个专业CFD选手

@hejob

forward-facing step

感觉这个算例得出的结果和groundtruth看起来简直一模一样，哈哈。

去GitHub看了一眼代码，Solver.py 有点厉害，我也得去学习一把了！