Zobrazeno 1 - 10
of 54
pro vyhledávání: '"65M60, 76D05"'
Autor:
Miller, Edward A., Williams, David M.
Versatile mixed finite element methods were originally developed by Chen and Williams for isothermal incompressible flows in "Versatile mixed methods for the incompressible Navier-Stokes equations," Computers & Mathematics with Applications, Volume 8
Externí odkaz:
http://arxiv.org/abs/2402.18660
A posteriori reduced-order models (ROM), e.g. based on proper orthogonal decomposition (POD), are essential to affordably tackle realistic parametric problems. They rely on a trustful training set, that is a family of full-order solutions (snapshots)
Externí odkaz:
http://arxiv.org/abs/2312.14756
We present a strongly conservative and pressure-robust hybridizable discontinuous Galerkin method for the coupled time-dependent Navier-Stokes and Darcy problem. We show existence and uniqueness of a solution and present an optimal a priori error ana
Externí odkaz:
http://arxiv.org/abs/2303.09882
In the present work we propose and analyze a fully coupled virtual element method of high order for solving the two dimensional nonstationary Boussinesq system in terms of the stream-function and temperature fields. The discretization for the spatial
Externí odkaz:
http://arxiv.org/abs/2209.12311
We prove that a space-time hybridized discontinuous Galerkin method for the evolutionary Navier--Stokes equations converges to a weak solution as the time step and mesh size tend to zero. Moreover, we show that this weak solution satisfies the energy
Externí odkaz:
http://arxiv.org/abs/2110.11920
Autor:
Li, Xu, Rui, Hongxing
Proper EMA-balance (E: kinetic energy; M: momentum; A: angular momentum), pressure-robustness and $Re$-semi-robustness ($Re$: Reynolds number) are three important properties of Navier-Stokes simulations with exactly divergence-free elements. This EMA
Externí odkaz:
http://arxiv.org/abs/2108.08355
We introduce and analyze a space-time hybridized discontinuous Galerkin method for the evolutionary Navier--Stokes equations. Key features of the numerical scheme include point-wise mass conservation, energy stability, and pressure robustness. We pro
Externí odkaz:
http://arxiv.org/abs/2103.13492
The purpose of this paper is to extend the versatile mixed methods originally developed by Chen and Williams for isothermal flows in "Versatile Mixed Methods for the Incompressible Navier-Stokes Equations," Computers & Mathematics with Applications,
Externí odkaz:
http://arxiv.org/abs/2007.08679
Autor:
Chen, Xi, Williams, David M.
In the spirit of the "Principle of Equipresence" introduced by Truesdell & Toupin, The Classical Field Theories (1960), we use the full version of the viscous stress tensor which was originally derived for compressible flows, instead of the classical
Externí odkaz:
http://arxiv.org/abs/2007.08015
Publikováno v:
Communications on Applied Mathematics and Computation (2020)
A new high order accurate staggered semi-implicit space-time discontinuous Galerkin (DG) method is presented for the simulation of viscous incompressible flows on unstructured triangular grids in two space dimensions. The staggered DG scheme defines
Externí odkaz:
http://arxiv.org/abs/2003.06891