Эффективность решения одномерного уравнения Хопфа разрывным методом Галеркина схемами ADER и Рунге-Кутта

DOI10.20948/MM-2021-07-08OpenAlexW3177414083MaRDI QIDQ5005805

N. A. Klyuev, Igor S. Bosnyakov

Publication date: 11 August 2021

Published in: Математическое моделирование (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mm4307

zbMATH Keywords

ADERefficiencydiscontinuous Galerkin methodRunge-Kuttahigh-orderHopf equationburgulence

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• ADER: Arbitrary high-order Godunov approach
• Linearly implicit Rosenbrock-type Runge-Kutta schemes applied to the discontinuous Galerkin solution of compressible and incompressible unsteady flows
• Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods
• Building blocks for arbitrary high order discontinuous Galerkin schemes
• TVD fluxes for the high-order ADER schemes
• Application of a Higher Order Discontinuous Galerkin
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Increasing the order of approximation of Godunov's scheme using solutions of the generalized riemann problem

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