Relaxation system based sub-grid scale modelling for large eddy simulation of Burgers' equation

被引：2

作者：

Misra, Souren ^{[1
]}

Rao, S. V. Raghurama ^{[1
]}

Bobba, Manoj Kumar ^{[2
]}

机构：

[1] Indian Inst Sci, Dept Aerosp Engn, Bangalore 560012, Karnataka, India

[2] Univ Massachusetts, Coll Engn, Dept Mech & Ind Engn, Amherst, MA 01003 USA

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS | 2010年 / 24卷 / 08期

关键词：

Burgers'; Equation; LES; ILES; sub-grid scale modelling; relaxation system;

D O I：

10.1080/10618562.2010.523518

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

An implicit sub-grid scale model for large eddy simulation is presented by utilising the concept of a relaxation system for one dimensional Burgers' equation in a novel way. The Burgers' equation is solved for three different unsteady flow situations by varying the ratio of relaxation parameter (epsilon) to time step. The coarse mesh results obtained with a relaxation scheme are compared with the filtered DNS solution of the same problem on a fine mesh using a fourth-order CWENO discretisation in space and third-order TVD Runge-Kutta discretisation in time. The numerical solutions obtained through the relaxation system have the same order of accuracy in space and time and they closely match with the filtered DNS solutions.

引用

页码：303 / 315

页数：13

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