A NEW APPROACH TO ALGORITHMS FOR CONVECTION PROBLEMS WHICH ARE BASED ON EXACT TRANSPORT + PROJECTION

被引：43

作者：

JOHNSON, C

机构：

[1] Department of Mathematics, Chalmers University of Technology

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1992年 / 100卷 / 01期

关键词：

D O I：

10.1016/0045-7825(92)90114-Y

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a new approach to algorithms for convective problems which are based on 'exact transport + projection', such as the characteristic Galerkin or modified method of characteristics. We show that in model cases such algorithms also arise by applying the streamline diffusion finite element method on space-time meshes oriented along characteristics. We exhibit some of the advantages of the latter approach concerning generality, design of artificial viscosity and precision of analysis.

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页码：45 / 62

页数：18

相关论文

共 29 条

[1] FLUX-CORRECTED TRANSPORT .1. SHASTA, A FLUID TRANSPORT ALGORITHM THAT WORKS [J].

BORIS, JP ;

BOOK, DL .

JOURNAL OF COMPUTATIONAL PHYSICS, 1973, 11 (01) :38-69

[2] THE PIECEWISE PARABOLIC METHOD (PPM) FOR GAS-DYNAMICAL SIMULATIONS [J].

COLELLA, P ;

WOODWARD, PR .

JOURNAL OF COMPUTATIONAL PHYSICS, 1984, 54 (01) :174-201

[3]

DAWSON CN, IN PRESS SIAM J NUME

[4] NUMERICAL-METHODS FOR CONVECTION-DOMINATED DIFFUSION-PROBLEMS BASED ON COMBINING THE METHOD OF CHARACTERISTICS WITH FINITE-ELEMENT OR FINITE-DIFFERENCE PROCEDURES [J].

DOUGLAS, J ;

RUSSELL, TF .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (05) :871-885

[5]

ERIKSSON K, IN PRESS SIAM J NUME

[6]

ERIKSSON K, 1990, ADAPTIVE STREAMLINE

[7]

ERIKSSON K, 1992, ADAPTIVE FINITE ELEM, V2

[8] CONVERGENCE ANALYSIS OF AN APPROXIMATION OF MISCIBLE DISPLACEMENT IN POROUS-MEDIA BY MIXED FINITE-ELEMENTS AND A MODIFIED METHOD OF CHARACTERISTICS [J].

EWING, RE ;

RUSSELL, TF ;

WHEELER, MF .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 47 (1-2) :73-92

[9] A VELOCITY PRESSURE STREAMLINE DIFFUSION FINITE-ELEMENT METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

HANSBO, P ;

SZEPESSY, A .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 84 (02) :175-192

[10] THE CHARACTERISTIC STREAMLINE DIFFUSION METHOD FOR THE TIME-DEPENDENT INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

HANSBO, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 99 (2-3) :171-186