An immersed discontinuous finite element method for the Stokes problem with a moving interface
نویسندگان
چکیده
منابع مشابه
An Immersed Interface Method for the Incompressible Navier--Stokes Equations with Discontinuous Viscosity Across the Interface
We present an immersed interface method for solving the incompressible Navier– Stokes equations with discontinuous viscosity across the interface and singular forces. The method is based on the augmented strategy proposed by Li, Ito, and Lai [Comput. Fluids, 36 (2007), pp. 622–635] to decouple the jump conditions of the fluid variables through the introduction of two augmented variables. In the...
متن کاملAn Optimal Adaptive Finite Element Method for the Stokes Problem
A new adaptive finite element method for solving the Stokes equations is developed, which is shown to converge with the best possible rate. The method consists of 3 nested loops. The outermost loop consists of an adaptive finite element method for solving the pressure from the (elliptic) Schur complement system that arises by eliminating the velocity. Each of the arising finite element problems...
متن کاملAn Absolutely Stabilized Finite Element Method for the Stokes Problem
An absolutely stabilized finite element formulation for the Stokes problem is presented in this paper. This new formulation, which is nonsymmetric but stable without employment of any stability constant, can be regarded as a modification of the formulation proposed recently by Hughes and Franca in [8]. Optimal error estimates in L2-norm for the new stabilized finite element approximation of bot...
متن کاملOptimal convergence analysis of an immersed interface finite element method
We analyze an immersed interface finite element method based on linear polynomials on noninterface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Optimal error estimates are derived in the broken H1-norm and L2-norm.
متن کاملAn immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries
Keywords: Incompressible Stokes equations Singular force Immersed interface method CG-Uzawa method Deformable interface Front tracking Irregular domains Rigid boundaries a b s t r a c t We present an immersed interface method for solving the incompressible steady Stokes equations involving fixed/moving interfaces and rigid boundaries (irregular domains). The fixed/moving interfaces and rigid bo...
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 and Applied Mathematics
سال: 2019
ISSN: 0377-0427
DOI: 10.1016/j.cam.2018.07.033