A mass conserving mixed stress formulation for the Stokes equations
نویسندگان
چکیده
منابع مشابه
A New Economical Mixed Finite Element Formulation and the Mac Method for the Stokes Equations
A new economical mixed nite element is formulated for the Stokes equations, in which the two components of the velocity and the pressure are deened on diierent meshes. First order error estimates are obtained for both the velocity and the pressure. Furthermore, the well known MAC method is derived from the resulting nite element method and the optimal error estimates for the MAC method are also...
متن کاملA High-order Lifting Collocation Penalty Formulation for the Navier-Stokes Equations on 2D Mixed Grids
The newly developed lifting collocation penalty (LCP) formulation for conservation laws is extended to solve the Navier-Stokes equations on 2D mixed meshes. The LCP formulation is an extension of the flux reconstruction (FR) method. Like the FR method, it can unify several popular high order methods including the discontinuous Galerkin and the spectral volume methods into a more efficient diffe...
متن کاملA High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids
The newly developed unifying discontinuous formulation named the correction procedure via reconstruction (CPR) for conservation laws is extended to solve the Navier-Stokes equations for 3D mixed grids. In the current development, tetrahedrons and triangular prisms are considered. The CPR method can unify several popular high order methods including the discontinuous Galerkin and the spectral vo...
متن کاملPreconditioning a mass-conserving discontinuous Galerkin discretization of the Stokes equations
The incompressible Stokes equations are a widely-used model of viscous or tightly confined flow in which convection effects are negligible. In order to strongly enforce the conservation of mass at the element scale, special discretization techniques must be employed. In this paper, we consider a discontinuous Galerkin (DG) approximation in which the velocity field is H(div,Ω)-conforming and div...
متن کاملAn augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations
This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end up with a stabilized variational formulation that can be recast as a twofold saddle point problem. We propose two families of mixed finite e...
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: IMA Journal of Numerical Analysis
سال: 2019
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/drz022