Stable and entropy satisfying approximations for transonic flow calculations

Author:

Engquist Björn,Osher Stanley

Abstract

Finite difference approximations for the small disturbance equation of transonic flow are developed and analyzed. New schemes of the Cole-Murman type are presented for which nonlinear stability is proved. The Cole-Murman scheme may have entropy violating expansion shocks as solutions. In the new schemes the switch between the subsonic and supersonic domains is designed such that these nonphysical shocks are guaranteed not to occur. Results from numerical calculations are given which illustrate these conclusions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference12 articles.

1. W. F. BALLHAUS & P. M. GOORJIAN, Implicit Finite Difference Computation of Unsteady Transonic Flow About Airfoils Including the Treatment of Irregular Shock Wave Motions, A.I.A.A. paper No. 77-205, 1977.

2. Modern developments in transonic flow;Cole, Julian D.;SIAM J. Appl. Math.,1975

3. Monotone difference approximations for scalar conservation laws;Crandall, Michael G.;Math. Comp.,1980

4. B. ENGQUIST & A. MAJDA, "Numerical radiation boundary conditions for unsteady transonic flow," J. Computational Phys. (Submitted.)

5. On finite-difference approximations and entropy conditions for shocks;Harten, A.;Comm. Pure Appl. Math.,1976

Cited by 187 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Dynamic capacity drop propagation in incident-affected networks: Traffic state modeling with SIS-CTM;Physica A: Statistical Mechanics and its Applications;2024-03

2. Lösungsverfahren;Numerische Strömungsberechnung;2023

3. A Three-dimensional Multi-species Flow Solver for the Euler Equations Combined with a Stiffened Gas Equation of State;International Journal of Mechanics;2022-05-17

4. Solution Methods;Computational Fluid Dynamics;2022

5. Introduction;Computational Fluid Dynamics;2022

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3