High-Order CFD Solvers on Three-Dimensional Unstructured Meshes: Parallel Implementation of RKDG Method with WENO Limiter and Momentum Sources

In aerospace engineering, high-order computational fluid dynamics (CFD) solvers suitable for three-dimensional unstructured meshes are less developed than expected. The Runge–Kutta discontinuous Galerkin (RKDG) finite element method with compact weighted essentially non-oscillatory (WENO) limiters is one of the candidates, which might give solutions on meshes. this article, we provide an efficient parallel implementation simulating inviscid compressible flows. implemented tested lower-dimensional model problems and real engineering problems. Results validate correctness accuracy these solvers. capability capturing complex flow structures even coarse shown in results applications. For solving containing rotary wings, unsteady momentum source incorporated into Such a element/momentum hybrid eliminates reliance advanced mesh techniques, tool studying rotorcraft aerodynamics.