Details

Autor(en) / Beteiligte

• Zhang, Qinglong
• Sheng, Wancheng

Titel

A Random Choice Method based on the Generalized Riemann Problem for the Euler equations in gas dynamics

Ist Teil von

• Journal of computational physics, 2021-09, Vol.441, p.110431, Article 110431

Ort / Verlag

Cambridge: Elsevier Inc

Erscheinungsjahr

2021

Quelle

Access via ScienceDirect (Elsevier)

Beschreibungen/Notizen

• This paper proposes and implements the Random Choice Method (RCM) based on a direct Eulerian generalized Riemann problem (GRP) scheme for one-dimensional Euler equations in gas dynamics. It is an application of the second order accurate GRP scheme proposed by Ben-Artzi et al. (2006) [6]. Since the RCM was introduced as a numerical tool in the gas dynamics and it has the advantage of capturing discontinuities with sharp resolution, we here implement the RCM by choosing the GRP scheme as the “building block”. The initial data are assumed to be piecewise linear function, and the local GRP is resolved directly and analytically at each interface. Special attention is paid to the treatment of resolving smooth wave. Numerical simulations on some typical problems show that the proposed method achieves good performance.