A Characteristic-Based Spectral Element Method for Moving-Domain Problems

被引：18

作者：

Patel, Saumil ^{[1
]}

Fischer, Paul ^{[2
,3
]}

Min, Misun ^{[4
]}

Tomboulides, Ananias ^{[5
,6
]}

机构：

[1] Argonne Natl Lab, Leadership Comp Facil, Lemont, IL 60439 USA

[2] Argonne Natl Lab, Urbana, IL USA

[3] Univ Illinois, Urbana, IL 61801 USA

[4] Argonne Natl Lab, Math & Comp Sci Div, Lemont, IL USA

[5] Argonne Natl Lab, Thessaloniki, Greece

[6] Aristotle Univ Thessaloniki, Thessaloniki, Greece

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2019年 / 79卷 / 01期

关键词：

Spectral element method; Arbitrary Lagrangian-Eulerian methods; Operator-integration-factor splitting; Characteristics; Navier-Stokes equations; In-cylinder engine flows; FLOW; CHANNEL; STABILIZATION; FILTER; WALL;

D O I：

10.1007/s10915-018-0876-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a characteristic-based numerical procedure for simulating incompressible flows in domains with moving boundaries. Our approach utilizes an operator-integration-factor splitting technique to help produce an efficient and stable numerical scheme. Using the spectral element method and an arbitrary Lagrangian-Eulerian formulation, we investigate flows where the convective acceleration effects are non-negligible. Several examples, ranging from laminar to turbulent flows, are considered. Comparisons with a standard, semi-implicit time-stepping procedure illustrate the improved performance of our scheme.

引用

页码：564 / 592

页数：29

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