An hybrid finite volume–finite element method for variable density incompressible flows
نویسندگان
چکیده
منابع مشابه
An hybrid finite volume-finite element method for variable density incompressible flows
This paper is devoted to the numerical simulation of variable density incompressible flows, modeled by the Navier-Stokes system. We introduce an hybrid scheme which combines a Finite Volume approach for treating the mass conservation equation and a Finite Element method to deal with the momentum equation and the divergence free constraint. The breakthrough relies on the definition of a suitable...
متن کاملGauge finite element method for incompressible flows
A finite element method for computing viscous incompressible flows based on the gauge formulation introduced in [Weinan E, Liu J-G. Gauge method for viscous incompressible flows. Journal of Computational Physics (submitted)] is presented. This formulation replaces the pressure by a gauge variable. This new gauge variable is a numerical tool and differs from the standard gauge variable that aris...
متن کاملSimple finite element method in vorticity formulation for incompressible flows
A very simple and eÆcient nite element method is introduced for two and three dimensional viscous incompressible ows using the vorticity formulation. The method relies on recasting traditional nite element method in the spirit of the high order accurate nite di erence methods introduced by the authors in [10]. Optimal accuracy of arbitrary order can be achieved using standard nite element or sp...
متن کاملA finite element penalty-projection method for incompressible flows
The penalty–projection method for the solution of Navier–Stokes equations may be viewed as a projection scheme where an augmentation term is added in the first stage, namely the solution of the momentum balance equation, to constrain the divergence of the predicted velocity field. After a presentation of the scheme in the time semi-discrete formulation, then in fully discrete form for a finite ...
متن کاملA Finite Element Method for Viscous Incompressible Thermal Flows
A finite element method for steady-state viscous incompressible thermal flows has been developed. The finite element equations are derived from a set of coupled nonlinear Navier-Stokes equations that consists of the conservation of mass, momentum, and energy equations. These derived finite element equations are validated by developing a corresponding finite element computer program that can be ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2008
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2008.01.017