THE EARLY INFLUENCE OF PETER LAX ON COMPUTATIONAL HYDRODYNAMICS AND AN APPLICATION OF LAX-FRIEDRICHS

• 作 者: Richard Liska Mikhail Shashkov
• 机 构: Faculty of Nuclear Sciences and Physical Engineering,Group XCP-4,Group T-5
• 出 处: 数学物理学报（英文版）
• 发表日期: 2004年期
• 关键词: Lax-Friedrichs Lax-Wendroff conservation laws Lagrangian coordinates triangular

We give a brief discussion of some of the contributions of Peter Lax to Computational Fluid Dynamics.These include the Lax-Friedrichs and Lax-Wendroff numerical schemes.We also mention his collaboration in the 1983 HLL Riemann solver. We develop two-dimensional Lax-Friedrichs and Lax-Wendroff schemes for the Lagrangian form of the Euler equations on triangular grids.We apply a composite scheme that uses a LaxFriedrichs time step as a dissipative filter after several Lax-Wendroff time steps.Numerical results for Noh's infinite strength shock problem,the Sedov blast wave problem,and the Saltzman piston problem are presented.