Zobrazeno 1 - 10
of 182
pro vyhledávání: '"Barrenechea, Gabriel"'
For the incompressible Navier--Stokes system with variable density and viscosity, we propose and analyse an IMEX framework treating the convective and diffusive terms semi-implicitly. This extends to variable density and second order in time some met
Externí odkaz:
http://arxiv.org/abs/2410.11510
In this work, we introduce and analyse discontinuous Galerkin (dG) methods for the drift-diffusion model. We explore two dG formulations: a classical interior penalty approach and a nodally bound-preserving method. Whilst the interior penalty method
Externí odkaz:
http://arxiv.org/abs/2410.05040
In this work we study different Implicit-Explicit (IMEX) schemes for incompressible flow problems with variable viscosity. Unlike most previous work on IMEX schemes, which focuses on the convective part, we here focus on treating parts of the diffusi
Externí odkaz:
http://arxiv.org/abs/2310.04182
This work proposes a nonlinear finite element method whose nodal values preserve bounds known for the exact solution. The discrete problem involves a nonlinear projection operator mapping arbitrary nodal values into bound-preserving ones and seeks th
Externí odkaz:
http://arxiv.org/abs/2304.01067
In this paper we propose, analyze, and test numerically a pressure-robust stabilized finite element for a linearized problem in incompressible fluid mechanics, namely, the steady Oseen equation with low viscosity. Stabilization terms are defined by j
Externí odkaz:
http://arxiv.org/abs/2205.06373
Convection-diffusion-reaction equations model the conservation of scalar quantities. From the analytic point of view, solution of these equations satisfy under certain conditions maximum principles, which represent physical bounds of the solution. Th
Externí odkaz:
http://arxiv.org/abs/2204.07480
Autor:
Barrenechea, Gabriel R., Suli, Endre
A low-order finite element method is constructed and analysed for an incompressible non-Newtonian flow problem with power-law rheology. The method is based on a continuous piecewise linear approximation of the velocity field and piecewise constant ap
Externí odkaz:
http://arxiv.org/abs/2107.12954
Autor:
Ahmed, Naveed, Barrenechea, Gabriel R., Burman, Erik, Guzmán, Johnny, Linke, Alexander, Merdon, Christian
Discretization of Navier-Stokes' equations using pressure-robust finite element methods is considered for the high Reynolds number regime. To counter oscillations due to dominating convection we add a stabilization based on a bulk term in the form of
Externí odkaz:
http://arxiv.org/abs/2007.04012
We consider a linearised model of incompressible inviscid flow. Using a regularisation based on the Hodge Laplacian we prove existence and uniqueness of weak solutions for smooth domains. The model problem is then discretised using H(div)-conforming
Externí odkaz:
http://arxiv.org/abs/1907.05699