A hybrid a posteriori MOOD limited lattice Boltzmann method to solve compressible fluid flows – LBMOOD

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2024-11-13 DOI:10.1016/j.jcp.2024.113570

Ksenia Kozhanova , Song Zhao , Raphaël Loubère , Pierre Boivin

{"title":"A hybrid a posteriori MOOD limited lattice Boltzmann method to solve compressible fluid flows – LBMOOD","authors":"Ksenia Kozhanova , Song Zhao , Raphaël Loubère , Pierre Boivin","doi":"10.1016/j.jcp.2024.113570","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper we blend two lattice-Boltzmann (LB) numerical schemes with an <em>a posteriori</em> Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyperbolic systems of conservation laws in 1D and 2D. The first LB scheme is robust to the presence of shock waves but lacks accuracy on smooth flows. The second one has a second-order of accuracy but develops non-physical oscillations when solving steep gradients. The MOOD paradigm produces a hybrid LB scheme via smooth and positivity detectors allowing to gather the best properties of the two LB methods within one scheme. Indeed, the resulting scheme presents second order of accuracy on smooth solutions, essentially non-oscillatory behaviour on irregular ones, and, an ‘almost fail-safe’ property concerning positivity issues. The numerical results on a set of sanity test cases and demanding ones are presented assessing the appropriate behaviour of the hybrid LBMOOD scheme in 1D and 2D.</div></div>","PeriodicalId":352,"journal":{"name":"Journal of Computational Physics","volume":"521 ","pages":"Article 113570"},"PeriodicalIF":3.8000,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021999124008180","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}

引用次数: 0

Abstract

In this paper we blend two lattice-Boltzmann (LB) numerical schemes with an a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyperbolic systems of conservation laws in 1D and 2D. The first LB scheme is robust to the presence of shock waves but lacks accuracy on smooth flows. The second one has a second-order of accuracy but develops non-physical oscillations when solving steep gradients. The MOOD paradigm produces a hybrid LB scheme via smooth and positivity detectors allowing to gather the best properties of the two LB methods within one scheme. Indeed, the resulting scheme presents second order of accuracy on smooth solutions, essentially non-oscillatory behaviour on irregular ones, and, an ‘almost fail-safe’ property concerning positivity issues. The numerical results on a set of sanity test cases and demanding ones are presented assessing the appropriate behaviour of the hybrid LBMOOD scheme in 1D and 2D.

查看原文本刊更多论文

解决可压缩流体流动的混合后验 MOOD 有限晶格玻尔兹曼法 - LBMOOD

在本文中，我们将两种格子-玻尔兹曼（LB）数值方案与后验多维最优阶次检测（MOOD）范式相结合，以求解一维和二维的双曲守恒定律系统。第一种 LB 方案对冲击波的存在具有鲁棒性，但对平滑流动缺乏精确性。第二种方案具有二阶精度，但在求解陡峭梯度时会产生非物理振荡。MOOD 范式通过平滑和正向检测器产生了一种混合 LB 方案，从而将两种 LB 方法的最佳特性集于一身。事实上，由此产生的方案在平滑解上具有二阶精度，在不规则解上基本无振荡行为，并且在正向性问题上具有 "几乎万无一失 "的特性。本文介绍了一组理智测试案例和高难度案例的数值结果，以评估混合 LBMOOD 方案在一维和二维中的适当行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

期刊介绍： Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.