An accurate predictor-corrector HOC solver for the two dimensional Riemann problem of gas dynamics

27th IUPAP Conference on Computational Physics

物理学;计算机科学

Gogoi, Bidyut B.^1

Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati

781039, India^1

关键词: Fourth order;    Higher order compacts;    Initial conditions;    Predictor corrector;    Riemann problem;    Second orders;    Two dimensional Riemann problem;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/759/1/012086/pdf
DOI  :  10.1088/1742-6596/759/1/012086

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The work in the present manuscript is concerned with the simulation of twodimensional (2D) Riemann problem of gas dynamics. We extend our recently developed higher order compact (HOC) method from one-dimensional (1D) to 2D solver and simulate the problem on a square geometry with different initial conditions. The method is fourth order accurate in space and second order accurate in time. We then compare our results with the available benchmark results. The comparison shows an excellent agreement of our results with the existing ones in the literature. Being a finite difference solver, it is quite straight-forward and simple.