A Two-Dimensional Lagrangian Difference Method of Movable Meshes——A Computing Method for Compressible Radiational Hydrodynamic Equations with Several Materials

Chang Qian-shun

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Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(2): 255-267

Chang Qian-shun. A Two-Dimensional Lagrangian Difference Method of Movable Meshes——A Computing Method for Compressible Radiational Hydrodynamic Equations with Several Materials[J]. Applied Mathematics and Mechanics, 1983, 4(2): 255-267.

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A Two-Dimensional Lagrangian Difference Method of Movable Meshes——A Computing Method for Compressible Radiational Hydrodynamic Equations with Several Materials

Chang Qian-shun

Institute of Applied Mathematics, Aaademia Sinica, Beijing

Received Date: 1981-04-11
Publish Date: 1983-04-15

Abstract

Abstract

In this paper we give the method of movable meshes uhichdonot need to follow surface of cell. This method merely computes the motion of the center of cell. The surface of cell is formed by the center of cell by rule. The Lagrantfian mesh thus formed allows slip between cells and the variety of neighborhood. In order to imporve the stability of the method and avoid unnecessary slips of cell, we give two velocities for the cell.

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References(11)

References

[1]	Von Neumann and R.D.Richtmyer,A method for the numerical calculations of hydrodynamic shocks,J.Appl.Phys.21(1950),232-237.
[2]	Gentry,R.A.,R.E.Martin and B.J.Daly,An Eulerian differencing method for unsteady compressible flow problems.J.Comput.Phys.1(1966),87-118.
[3]	Kolskg.H.C.,A Method for the Numerical Solution of Transient Hydrodynamic Shock Problem in Two Space Dimensions,LA-1867,(1955).
[4]	Schulz,W.D.,Two-Dimensional Lagrangian Hydrodynamic Difference Equations,in“Methods in Computational Physics”,Vol.3,Alder,Fernbach and Rotenberg,Eds.,Academic Press,New York,(1964),1-45.
[5]	Harlow,F.H.,A machine calculation method for hydrodynamic problems,LAMS-1956(1955).
[6]	Amsden,A.A.,The Particle-in-Cell Method for Calculation of the Dynamics of Compressible Fluids,LA-3466(1966).
[7]	Harlow,F.H.,The Particle-and-Force Computing Method for Fluid Dynamics,LA-2567(1961),1-48.
[8]	秦元勋,天然差分方法(未发表),(1967).
[9]	周毓麟,流体力学计算方法若干问题:1975年全国计算数学会议论文.
[10]	Hirt,C.W.,Heuristic stability theory for finite difference equations,J.Comput.Phys.,Vol.2,No.4,329-335.
[11]	Vider Thomee,Stability theory for partial difference operator,SIAM Review,Vol.11,No.2,152-195.