Finite element methods for incompressible viscous flow
R Glowinski - Handbook of numerical analysis, 2003 - Elsevier
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[图书][B] Finite element methods for fluids
O Pironneau, O Pironneau - 1989 - ljll.fr
3.1 Introduction: boundary layers, instability of centered schemes.... 13 3.2 Stationary
convections: introduction, schemes based on the method of characteristics, upwind …
convections: introduction, schemes based on the method of characteristics, upwind …
Stabilization of Galerkin approximations of transport equations by subgrid modeling
JL Guermond - ESAIM: Mathematical Modelling and Numerical …, 1999 - cambridge.org
This paper presents a stabilization technique for approximating transport equations. The key
idea consists in introducing an artificial diffusion based on a two-level decomposition of the …
idea consists in introducing an artificial diffusion based on a two-level decomposition of the …
A semi-Lagrangian high-order method for Navier–Stokes equations
D Xiu, GE Karniadakis - Journal of computational physics, 2001 - Elsevier
We present a semi-Lagrangian method for advection–diffusion and incompressible Navier–
Stokes equations. The focus is on constructing stable schemes of second-order temporal …
Stokes equations. The focus is on constructing stable schemes of second-order temporal …
Arbitrary Lagrangian–Eulerian method for Navier–Stokes equations with moving boundaries
This article deals with the numerical approximation of Navier–Stokes equations in a domain
with moving boundaries. Using the arbitrary Lagrangian–Eulerian (ALE) method we …
with moving boundaries. Using the arbitrary Lagrangian–Eulerian (ALE) method we …
[图书][B] Complex fluids
P Saramito - 2016 - Springer
Water and air behave in a similar way and their flow can be described in a very accurate
way by the Navier–Stokes equations. Others fluids behave differently: they cannot be …
way by the Navier–Stokes equations. Others fluids behave differently: they cannot be …
[PDF][PDF] Stability of the Lagrange-Galerkin method with non-exact integration
KW Morton, A Priestley, E Suli - ESAIM: Mathematical Modelling and …, 1988 - numdam.org
Stability of the Lagrange-Galerkin method with non-exact integration Page 1 RAIRO
MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE KW MORTON A. PRIESTLEY …
MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE KW MORTON A. PRIESTLEY …
Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov–Poisson system
Semi-Lagrangian (SL) methods have been very popular in the Vlasov simulation community
[29, 3, 4, 18, 32, 5, 24, 26]. In this paper, we propose a new Strang split SL discontinuous …
[29, 3, 4, 18, 32, 5, 24, 26]. In this paper, we propose a new Strang split SL discontinuous …
Convergence of finite volume schemes for Poisson's equation on nonuniform meshes
E Süli - SIAM Journal on Numerical Analysis, 1991 - SIAM
An error analysis of a family of cell-center finite volume schemes for Poisson's equation on
Cartesian product nonuniform meshes in two dimensions is presented. Optimal-order error …
Cartesian product nonuniform meshes in two dimensions is presented. Optimal-order error …
Twin vortex computer in fluid flow
K Goto, K Nakajima, H Notsu - New Journal of Physics, 2021 - iopscience.iop.org
Fluids exist universally in nature and technology. Among the many types of fluid flows is the
well-known vortex shedding, which takes place when a fluid flows past a bluff body. Diverse …
well-known vortex shedding, which takes place when a fluid flows past a bluff body. Diverse …