A Very High-Order Compact Difference Method for Wall-Bounded Flows

被引：0

作者：

Caban, L. ^{[1
]}

Tyliszczak, A. ^{[1
]}

Abide, S. ^{[2
]}

Domaradzki, J. A. ^{[3
]}

机构：

[1] Czestochowa Tech Univ, Al Armii Krajowej 21, PL-42201 Czestochowa, Poland

[2] Univ Perpignan Via Domitia, 52 Ave Paul Alduy, F-66100 Perpignan, France

[3] Univ Southern Calif, Los Angeles, CA 90007 USA

来源：

INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2022, ICNAAM-2022 | 2024年 / 3094卷

关键词：

SCHEMES;

D O I：

10.1063/5.0210442

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we formulate and analyze high-order compact finite difference schemes for the approximation of derivatives in boundary and near boundary computational nodes. It has been shown that the proposed schemes, although unstable for hyperbolic problems, turn out to be stable and accurate for the parabolic vorticity-stream function equation describing fluid flow problems. The results obtained for the Burggraf flow and the lid-driven cavity flows agree very well with the analytical solutions and literature data.

引用

页数：4

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