2 papers
math.NA2019
A Finite Volume Scheme for Savage-Hutter Equations on Unstructured Grids
Ruo Li, Xiaohua Zhang
A Godunov-type finite volume scheme on unstructured triangular grids is proposed to numerically solve the Savage-Hutter equations in curvilinear coordinate. We show the direct obse…
math.NA2019
A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of n-dimensional Burgers' system
Changkai Chen, Xiaohua Zhang, Zhang Liu
This paper modifies a n-dimensional Hopf-Cole transformation to the n-dimensional Burgers' system. We obtain the n-dimensional heat conduction equation through the modification of…