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

Pei, Weicheng; Jiang, Yuyan; Li, Shu

doi:10.3390/aerospace9070372

Open AccessArticle

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

by

Weicheng Pei

¹

,

Yuyan Jiang

¹ and

Shu Li

^1,2,*

¹

School of Aeronautics Science and Engineering, Beihang University, 37 Xueyuan Road, Haidian District, Beijing 100191, China

²

Ningbo Institute of Technology, Beihang University, Ningbo 315800, China

^*

Author to whom correspondence should be addressed.

Aerospace 2022, 9(7), 372; https://doi.org/10.3390/aerospace9070372

Submission received: 9 June 2022 / Revised: 4 July 2022 / Accepted: 7 July 2022 / Published: 11 July 2022

(This article belongs to the Section Aeronautics)

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Abstract

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 high-order solutions on unstructured meshes. In this article, we provide an efficient parallel implementation of this method for simulating inviscid compressible flows. The implemented solvers are tested on lower-dimensional model problems and real three-dimensional engineering problems. Results of lower-dimensional problems validate the correctness and accuracy of these solvers. The capability of capturing complex flow structures even on coarse meshes is shown in the results of three-dimensional applications. For solving problems containing rotary wings, an unsteady momentum source model is incorporated into the solvers. Such a finite element/momentum source hybrid method eliminates the reliance on advanced mesh techniques, which might provide an efficient tool for studying rotorcraft aerodynamics.

Keywords: high-order CFD solvers; three-dimensional unstructured meshes; RKDG method; compact WENO limiter; parallel implementation; momentum source models

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MDPI and ACS Style

Pei, W.; Jiang, Y.; Li, S. High-Order CFD Solvers on Three-Dimensional Unstructured Meshes: Parallel Implementation of RKDG Method with WENO Limiter and Momentum Sources. Aerospace 2022, 9, 372. https://doi.org/10.3390/aerospace9070372

AMA Style

Pei W, Jiang Y, Li S. High-Order CFD Solvers on Three-Dimensional Unstructured Meshes: Parallel Implementation of RKDG Method with WENO Limiter and Momentum Sources. Aerospace. 2022; 9(7):372. https://doi.org/10.3390/aerospace9070372

Chicago/Turabian Style

Pei, Weicheng, Yuyan Jiang, and Shu Li. 2022. "High-Order CFD Solvers on Three-Dimensional Unstructured Meshes: Parallel Implementation of RKDG Method with WENO Limiter and Momentum Sources" Aerospace 9, no. 7: 372. https://doi.org/10.3390/aerospace9070372

APA Style

Pei, W., Jiang, Y., & Li, S. (2022). High-Order CFD Solvers on Three-Dimensional Unstructured Meshes: Parallel Implementation of RKDG Method with WENO Limiter and Momentum Sources. Aerospace, 9(7), 372. https://doi.org/10.3390/aerospace9070372

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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

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