An improved unstructured WENO method for compressible multi‐fluids flow. (17th February 2016)

• Record Type: Journal Article
• Authors: Zheng, Hongwei; Zhao, Wengeng
• Is Part Of: International journal for numerical methods in fluids. Volume 82:Number 3(2016)
• Page Start: 113
• Page End: 129
• Publication Date: 2016-02-17
• Subjects: compressible multi‐fluid flows -- WENO -- finite volume method -- high‐order accuracy -- unstructured grids; Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.4210
• Languages: English
• ISSNs: 0271-2091

Abstract

Summary: An improved high‐order accurate WENO finite volume method based on unstructured grids for compressible multi‐fluids flow is proposed in this paper. The third‐order accuracy WENO finite volume method based on triangle cell is used to discretize the governing equations. To have higher order of accuracy, the P1 polynomial is reconstructed firstly. After that, the P2 polynomial is reconstructed from the combination of the P1. The reconstructed coefficients are calculated by analytical form of inverse matrix rather than the numerical inversion. This greatly improved the efficiency and the robustness. Four examples are presented to examine this algorithm. Numerical results show that there is no spurious oscillation of velocity and pressure across the interface and high‐order accurate result can be achieved. Copyright © 2016 John Wiley & Sons, Ltd. Abstract : An improved high‐order accurate WENO finite volume method based on unstructured grids for compressible multi‐fluids flow is proposed in this paper. The reconstructed coefficients are calculated by analytical form of inverse matrix rather than the numerical inversion. This greatly improved the efficiency and the robustness. Numerical results show that there is no spurious oscillation of velocity and pressure across the interface and high‐order accurate result can be achieved.