A critical evaluation of the resolution properties of B-spline and compact finite difference methods

被引：38

作者：

Kwok, WY ^{[1
]}

Moser, RD

Jiménez, J

机构：

[1] Univ Illinois, Dept Theoret & Appl Mech, Urbana, IL 61801 USA

[2] Univ Politecn Madrid, Sch Aeronaut, E-28040 Madrid, Spain

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2001年 / 174卷 / 02期

关键词：

resolution; B-spline methods; compact finite difference methods;

D O I：

10.1006/jcph.2001.6919

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Resolution properties of B-spline and compact finite difference schemes are compared using Fourier analysis in periodic domains, and tests based on solution of the wave and heat equations in finite domains, with uniform and nonuniform grids. Results show that compact finite difference schemes have a higher convergence rate and in some cases better resolution. However, B-spline schemes have a more straightforward and robust formulation, particularly near boundaries on nonuniform meshes. (C) 2001 Elsevier Science.

引用

页码：510 / 551

页数：42

共 39 条

[11] AN H-P ADAPTIVE FINITE-ELEMENT METHOD FOR THE NUMERICAL-SIMULATION OF COMPRESSIBLE FLOW [J].

DEVLOO, P ;

ODEN, JT ;

PATTANI, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 70 (02) :203-235

[12]

Fletcher C.A.J., 1991, COMPUTATION TECHNIQU, V1

[13]

FREUND JB, 1997, TF72 STANF U MECH EN

[14] USE OF CUBIC SPLINES IN SOLUTION OF 2-POINT BOUNDARY VALUE PROBLEMS [J].

FYFE, DJ .

COMPUTER JOURNAL, 1969, 12 (02) :188-&

[15]

Gottlieb D., 1977, NUMERICAL ANAL SPECT

[16]

GUSTAFSSON B, 1975, MATH COMPUT, V29, P396, DOI 10.1090/S0025-5718-1975-0386296-7

[17]

HEATH MT, 1997, SCI COMPUTATION INTR

[18] HIGHER-ORDER ACCURATE DIFFERENCE SOLUTIONS OF FLUID MECHANICS PROBLEMS BY A COMPACT DIFFERENCING TECHNIQUE [J].

HIRSH, RS .

JOURNAL OF COMPUTATIONAL PHYSICS, 1975, 19 (01) :90-109

[19] SPECTRAL ELEMENT SIMULATIONS OF LAMINAR AND TURBULENT FLOWS IN COMPLEX GEOMETRIES [J].

KARNIADAKIS, GE .

APPLIED NUMERICAL MATHEMATICS, 1989, 6 (1-2) :85-105

[20]

KARNIADAKIS GE, 1993, ALGORITHMIC TRENDS C

← 1 2 3 4 →