We present a new conservative semi-Lagrangian finite difference weighted essentially non-oscillatory scheme with adaptive order.This is an extension of the conservative semi-Lagrangian(SL)finite difference WENO scheme...
supported in part by a grant from National Science Foundation(Project No.11301262);a grant from the Research Grants Council of the Hong Kong Special Administrative Region,China(Project No.CityU 102613);The work of J.Wang and W.Sun was supported in part by a grant from the Research Grants Council of the Hong Kong Special Administrative Region,China(Project No.CityU 102613).
The paper is concerned with the unconditional stability and error estimates of fully discrete Galerkin-Galerkin FEMs for the equations of incompressible miscible flows in porous media.We prove that the optimal L 2 err...
Factorization of the incompressible Stokes operator linking pressure and velocity is revisited.The main purpose is to use the inverse of the Stokes operator with a large time step as a preconditioner for Newton and Ar...
by a contractor of the U.S.Government under Contract No.DEAC07-05ID14517.
We have introduced a fully second order IMplicit/EXplicit(IMEX)time integration technique for solving the compressible Euler equations plus nonlinear heat conduction problems(also known as the radiation hydrodynamics ...
One of authors(T.Zhang)is grateful to Liang Wang for useful discussions.This work is financially supported by the National Basic Research Program of China(Grant No.2011CB707305);the National Natural Science Foundation of China(Grant Nos.51006040 and 51006039);the Fundamental Research Funds for the Central Universities,Hust(Grant Nos.2010MS131 and 2010JC005).
In this paper,a lattice Boltzmann BGK(LBGK)model is proposed for simulating incompressible axisymmetric flows.Unlike other existing axisymmetric lattice Boltzmann models,the present LBGK model can eliminate the compre...
An isolated cylindrical void is located inside an incompressible nonlinearelasticmediumwhose constitutive behaviour is governed by a neo-Hookean strain energy function.In-plane hydrostatic pressure is applied in the f...
supported by Guangdong Provincial Government of China through the“Computational Science Innovative Research Team”program and the Sun Yat-sen University“Hundred Talents Program”(34000-3181201);and the National Natural Science Foundation of China(No.11101446).
Abstract.In this paper,a novel implementation of immersed interface method combined with Stokes solver on a MAC staggered grid for solving the steady two-fluid Stokes equations with interfaces.The velocity components ...
the National Science Council under the project NSC 96-2623-7-216-001-D.
Recently,cavitated flows over underwater submerged bodies have attracted researchers to simulate large scale cavitation.Comparatively Computational Fluid Dynamics(CFD)approaches have been used widely and successfully ...
In this paper,the three-dimensional lattice kinetic scheme is presented to simulate incompressible viscous thermal flows.As compared with the standard LBM,the present scheme has the following good features.It can save...
USA NSF-NIH grant#0201094,the USA-ARO under grant number 43751-MA;an NSF grant DMS-0412654。
An augmented method is proposed for solving stationary incompressible Stokes equations with a Dirichlet boundary condition along parts of the boundary.In this approach,the normal derivative of the pressure along the p...