A high order MOOD method for compressible Navier-Stokes equations: application to hypersonic viscous flows. (9th October 2019)

• Record Type: Journal Article
• Authors: Turpault, Rodolphe; Nguyen-Bui, Thanh-Ha
• Is Part Of: Progress in computational fluid dynamics. Volume 19:Number 6(2019)
• Page Start: 337
• Page End: 345
• Publication Date: 2019-10-09
• Subjects: numerical scheme -- MOOD methods -- high-order -- viscous fluids -- supersonic -- discontinuities -- simulations; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

Abstract

A very high-order finite volumes numerical method is designed for the simulation of compressible Navier-Stokes equations on 2D unstructured meshes. This scheme is based on the MOOD methods described for Euler's equations, it is an interesting alternative in the design of a scheme adapted to accurate simulations of flows with discontinuities, in all the domain. The main originality of our method is to include the viscosity/diffusion terms of Navier-Stokes equations. These terms may be discretised with the same accuracy of convection terms, though we will restrict ourselves to second-order here. It permits to treat the hypersonic viscous interactions with high accuracy. Numerical experiments are conducted to demonstrate the performance of the proposed method.