Acta mathematica scientia, Series B >
THE EARLY INFLUENCE OF PETER LAX ON COMPUTATIONAL HYDRODYNAMICS AND AN APPLICATION OF LAX-FRIEDRICHS AND#br# LAX-WENDROFF ON TRIANGULAR GRIDS IN LAGRANGIAN COORDINATES
Received date: 2011-07-27
Online published: 2011-11-20
Supported by
This work was performed under the auspices of the National Nuclear Secu-rity Administration of the US Department of Energy at Los Alamos National Laboratory under Contract No. DE-AC52-06NA25396. The first author has been supported in part by the Czech Science Foundation Grant P205/10/0814 and by the Czech Ministry of Education grants MSM 6840770022 and LC528.
We give a brief discussion of some of the contributions of Peter Lax to Com-putational Fluid Dynamics. These include the Lax-Friedrichs and Lax-Wendroff numerical schemes. We also mention his collaboration in the 1983 HLL Riemann solver. We de-velop 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 Lax-Friedrichs 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.
Richard Liska , Mikhail Shashkov , Burton Wendroff . THE EARLY INFLUENCE OF PETER LAX ON COMPUTATIONAL HYDRODYNAMICS AND AN APPLICATION OF LAX-FRIEDRICHS AND#br# LAX-WENDROFF ON TRIANGULAR GRIDS IN LAGRANGIAN COORDINATES[J]. Acta mathematica scientia, Series B, 2011 , 31(6) : 2195 -2202 . DOI: 10.1016/S0252-9602(11)60393-7
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