Derivative artificial compression method for conservation laws with multi-dimensional extension

作者：Liu, Fujun^*; Dong, Haitao

来源：International Journal of Computational Fluid Dynamics, 2016, 30(7-10): 455-468.

DOI：10.1080/10618562.2016.1223843

• Euler equations
• high resolution
• difference schemes
• TVD
• artificial compression
• derivative artificial compression

A new resolution-enhancing technique called derivative artificial compression method is developed with multi-dimensional extension. The method is constructed via applying high-resolution difference schemes on derivative equations of conservation laws. In this way, one could overcome the defect of accuracy decay at extreme points that has plagued almost all high-resolution schemes. The new method has high resolution, low dissipation and low diffusion properties, and could enhance the resolution ( of numerical solution) both at discontinuities and at extreme points. Numerical experiments are implemented using initial value problems of single conservation law, one-dimensional shock-tube problem, two-dimensional Riemann problems, double Mach reflection problem, and a shock reflection from a wedge. Resolutions of discontinuities, extremes and fine structures are compared between the original TVD scheme, TVD scheme with artificial compression method and TVD scheme with derivative artificial compression method.

• 出版日期2016
• 单位北京航空航天大学