Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Palha, Artur"'
In the framework of a mixed finite element method, a structure-preserving formulation for incompressible MHD equations with general boundary conditions is proposed. A leapfrog-type temporal scheme fully decouples the fluid part from the Maxwell part
Externí odkaz:
http://arxiv.org/abs/2410.23973
In this work, we introduce a mass, energy, enstrophy and vorticity conserving (MEEVC) mixed finite element discretization for two-dimensional incompressible Navier-Stokes equations as an alternative to the original MEEVC scheme proposed in [A. Palha
Externí odkaz:
http://arxiv.org/abs/2307.08166
Publikováno v:
In Journal of Computational Physics 1 August 2024 510
We introduce a mimetic dual-field discretization which conserves mass, kinetic energy and helicity for three-dimensional incompressible Navier-Stokes equations. The discretization makes use of a conservative dual-field mixed weak formulation where tw
Externí odkaz:
http://arxiv.org/abs/2104.13023
Autor:
Lee, David, Palha, Artur
A new horizontally explicit/vertically implicit (HEVI) time splitting scheme for atmospheric modelling is introduced, for which the horizontal divergence terms are applied within the implicit vertical substep. The new HEVI scheme is implemented in co
Externí odkaz:
http://arxiv.org/abs/2011.07861
In this work we present a structure preserving discretization for turbidity currents based on a mass-, energy-, enstrophy-, and vorticity-conserving formulation for 2D incompressible flows. This discretization exploits a dual-field formulation for th
Externí odkaz:
http://arxiv.org/abs/1910.05978
We present a hybrid mimetic spectral element formulation for Darcy flow. The discrete representations for 1) conservation of mass, and 2) inter-element continuity, are topological relations that lead to sparse matrix systems. These constraints are in
Externí odkaz:
http://arxiv.org/abs/1904.11909
In this paper we will consider two curl-curl equation in two dimensions. One curl-curl problem for a scalar quantity $F$ and one problem for a vector field $\bf{E}$. For Dirichlet boundary conditions $\bf{n} \times \bf{E} =$ $ \hat{E}_{\dashv}$ on $\
Externí odkaz:
http://arxiv.org/abs/1805.00114
Autor:
Lee, David, Palha, Artur
Publikováno v:
Lee, D. and Palha, A. (2018) A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere, Journal of Computational Physics, 375, 240-262
In a previous article [J. Comp. Phys. $\mathbf{357}$ (2018) 282-304], the mixed mimetic spectral element method was used to solve the rotating shallow water equations in an idealized geometry. Here the method is extended to a smoothly varying, non-af
Externí odkaz:
http://arxiv.org/abs/1802.07395
This paper addresses the topological structure of steady, anisotropic, inhomogeneous diffusion problems. Two discrete formulations: a) mixed and b) direct formulations are discussed. Differential operators are represented by sparse incidence matrices
Externí odkaz:
http://arxiv.org/abs/1802.04597