Academic Journal

Numerical entropy production as smoothness indicator for shallow water equations

التفاصيل البيبلوغرافية
العنوان: Numerical entropy production as smoothness indicator for shallow water equations
المؤلفون: Mungkasi, Sudi, Roberts, Stephen Gwyn
المصدر: ANZIAM Journal; Vol. 61 (2019); 398--415 ; 1445-8810
بيانات النشر: Australian Mathematical Society
سنة النشر: 2020
المجموعة: Australian Mathematical Society (AustMS): E-Journals
مصطلحات موضوعية: smoothness indicator, shock detector, numerical entropy production, finite volume method, shallow water equations, primary 35L65, secondary 65M08, 76M12
الوصف: The numerical entropy production (NEP) for shallow water equations (SWE) is discussed and implemented as a smoothness indicator. We consider SWE in three different dimensions, namely, one-dimensional, one-and-a-half-dimensional, and two-dimensional SWE. An existing numerical entropy scheme is reviewed and an alternative scheme is provided. We prove the properties of these two numerical entropy schemes relating to the entropy steady state and consistency with the entropy equality on smooth regions. Simulation results show that both schemes produce NEP with the same behaviour for detecting discontinuities of solutions and perform similarly as smoothness indicators. An implementation of the NEP for an adaptive numerical method is also demonstrated. doi:10.1017/S1446181119000154
نوع الوثيقة: article in journal/newspaper
اللغة: unknown
Relation: https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/14423
الاتاحة: https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/14423
Rights: Copyright (c) 2020 AMPAI
رقم الانضمام: edsbas.71D9BAFA
قاعدة البيانات: BASE