Zobrazeno 1 - 10
of 150
pro vyhledávání: '"ÖFFNER, PHILIPP"'
In recent years, stochastic effects have become increasingly relevant for describing fluid behaviour, particularly in the context of turbulence. The most important model for inviscid fluids in computational fluid dynamics are the Euler equations of g
Externí odkaz:
http://arxiv.org/abs/2412.07613
We show that finite element discretizations of incompressible flow problems can be designed to ensure preservation/dissipation of kinetic energy not only globally but also locally. In the context of equal-order (piecewise-linear) interpolations, we p
Externí odkaz:
http://arxiv.org/abs/2410.06174
Autor:
Glaubitz, Jan, Ranocha, Hendrik, Winters, Andrew R., Schlottke-Lakemper, Michael, Öffner, Philipp, Gassner, Gregor
There is a pressing demand for robust, high-order baseline schemes for conservation laws that minimize reliance on supplementary stabilization. In this work, we respond to this demand by developing new baseline schemes within a nodal discontinuous Ga
Externí odkaz:
http://arxiv.org/abs/2406.14557
We introduce a novel construction procedure for one-dimensional summation-by-parts (SBP) operators. Existing construction procedures for FSBP operators of the form $D = P^{-1} Q$ proceed as follows: Given a boundary operator $B$, the norm matrix $P$
Externí odkaz:
http://arxiv.org/abs/2405.08770
In this manuscript, we present the development of implicit and implicit-explicit ADER and DeC methodologies within the DeC framework using the two-operators formulation, with a focus on their stability analysis both as solvers for ordinary differenti
Externí odkaz:
http://arxiv.org/abs/2404.18626
In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inherent in shallow water systems, particularly suited for applications s
Externí odkaz:
http://arxiv.org/abs/2402.12248
Autor:
Ranocha, Hendrik, Winters, Andrew R., Schlottke-Lakemper, Michael, Öffner, Philipp, Glaubitz, Jan, Gassner, Gregor J.
Publikováno v:
Journal of Computational Physics, 2024
We use the framework of upwind summation-by-parts (SBP) operators developed by Mattsson (2017, doi:10.1016/j.jcp.2017.01.042) and study different flux vector splittings in this context. To do so, we introduce discontinuous-Galerkin-like interface ter
Externí odkaz:
http://arxiv.org/abs/2311.13888
We investigate the consistency and convergence of flux-corrected finite element approximations in the context of nonlinear hyperbolic conservation laws. In particular, we focus on a monolithic convex limiting approach and prove a Lax--Wendroff-type t
Externí odkaz:
http://arxiv.org/abs/2308.14872
Many applications rely on solving time-dependent partial differential equations (PDEs) that include second derivatives. Summation-by-parts (SBP) operators are crucial for developing stable, high-order accurate numerical methodologies for such problem
Externí odkaz:
http://arxiv.org/abs/2306.16314