Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Wimmer, Golo A."'
We present a novel spatial discretization for the Cahn-Hilliard equation including transport. The method is given by a mixed discretization for the two elliptic operators, with the phase field and chemical potential discretized in discontinuous Galer
Externí odkaz:
http://arxiv.org/abs/2410.13087
We present a novel solver technique for the anisotropic heat flux equation, aimed at the high level of anisotropy seen in magnetic confinement fusion plasmas. Such problems pose two major challenges: (i) discretization accuracy and (ii) efficient imp
Externí odkaz:
http://arxiv.org/abs/2301.13351
Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics
Autor:
Wimmer, Golo A., Tang, Xianzhu
We present compatible finite element space discretizations for the ideal compressible magnetohydrodynamic equations. The magnetic field is considered both in div- and curl-conforming spaces, leading to a strongly or weakly preserved zero-divergence c
Externí odkaz:
http://arxiv.org/abs/2210.02348
Autor:
Bendall, Thomas M, Wimmer, Golo A
Within finite element models of fluids, vector-valued fields such as velocity or momentum variables are commonly discretised using the Raviart-Thomas elements. However, when using the lowest-order quadrilateral Raviart-Thomas elements, standard finit
Externí odkaz:
http://arxiv.org/abs/2207.03519
Computational modeling for high-fidelity coarsening of shallow water equations based on subgrid data
Small-scale features of shallow water flow obtained from direct numerical simulation (DNS) with two different computational codes for the shallow water equations are gathered offline and subsequently employed with the aim of constructing a reduced-or
Externí odkaz:
http://arxiv.org/abs/2110.07966
Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics
Autor:
Wimmer, Golo A., Tang, Xian-Zhu
Publikováno v:
In Journal of Computational Physics 15 March 2024 501
We develop a modeling framework for bioluminescence light found in the deep sea near neutrino telescopes by combining a hydrodynamic model with a stochastic one. The bioluminescence is caused by organisms when exposed to a non-constant water flow, su
Externí odkaz:
http://arxiv.org/abs/2103.03816
Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction
We present an energy conserving space discretisation based on a Poisson bracket that can be used to derive the dry compressible Euler as well as thermal shallow water equations. It is formulated using the compatible finite element method, and extends
Externí odkaz:
http://arxiv.org/abs/2001.09590
We present an energy conserving space discretisation of the rotating shallow water equations using compatible finite elements. It is based on an energy and enstrophy conserving Hamiltonian formulation as described in McRae and Cotter (2014), and exte
Externí odkaz:
http://arxiv.org/abs/1901.06349
Publikováno v:
In Journal of Computational Physics 15 January 2020 401