NUMERICAL-SOLUTION OF A NON-LINEAR HYPERBOLIC EQUATION BY THE RANDOM CHOICE METHOD

被引：49

作者：

CONCUS, P

PROSKUROWSKI, W

机构：

[1] Lawrence Berkeley Laboratory, University of California, Berkeley

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1979年 / 30卷 / 02期

关键词：

D O I：

10.1016/0021-9991(79)90096-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The numerical solution of a nonlinear hyperbolic equation not fulfilling the strict non-linearity condition is considered. A solution procedure is developed based on the random choice method, which permits the sharp tracking of discontinuities. As an illustration, an application to the two-phase flow of petroleum in underground reservoirs is presented. © 1979.

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页码：153 / 166

页数：14

相关论文

共 12 条

[1] Mechanism of fluid displacement in sands [J].

Buckley, SE ;

Leverett, MC .

TRANSACTIONS OF THE AMERICAN INSTITUTE OF MINING AND METALLURGICAL ENGINEERS, 1942, 146 :107-116

[2] RANDOM CHOICE SOLUTION OF HYPERBOLIC SYSTEMS [J].

CHORIN, AJ .

JOURNAL OF COMPUTATIONAL PHYSICS, 1976, 22 (04) :517-533

[3] RANDOM CHOICE METHODS WITH APPLICATIONS TO REACTING GAS-FLOW [J].

CHORIN, AJ .

JOURNAL OF COMPUTATIONAL PHYSICS, 1977, 25 (03) :253-272

[4] POLYGONAL APPROXIMATIONS OF SOLUTIONS OF INITIAL VALUE-PROBLEM FOR A CONSERVATION LAW [J].

DAFERMOS, CM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 38 (01) :33-&

[5] SOLUTIONS IN LARGE FOR NONLINEAR HYPERBOLIC SYSTEMS OF EQUATIONS [J].

GLIMM, J .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1965, 18 (04) :697-&

[6]

KUZNECOV NN, 1975, SOVIET MATH DOKL, V16, P340

[7]

Lax P. D., 1973, SIAM REGIONAL C SERI

[8] HYPERBOLIC SYSTEMS OF CONSERVATION LAWS .2. [J].

LAX, PD .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (04) :537-566

[9]

OLEINIK OA, 1963, AM MATH SOC TRANSL 2, V33, P285

[10]

PEACEMAN DW, 1967, NONLINEAR PARTIAL DI