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Non-Oscillatory Central Schemes for the Incompressible 2D Euler Equations
Hyperbolic conservation laws second-order accuracy central difference schemes non-oscillatory schemes Incompressible Euler equations
2015/10/8
We adopt a non-oscillatory central scheme, first presented in the context of Hyperbolic conservation laws in [nessyahu-tadmor] followed by [jiang-tadmor], to the framework of the incompressible Eule...
INVISCID MODELS GENERALIZING THE 2D EULER AND THE SURFACE QUASI-GEOSTROPHIC EQUATIONS
INVISCID MODELS GENERALIZING 2D EULER THE SURFACE QUASI-GEOSTROPHIC EQUATIONS
2014/4/3
Any classical solution of the 2D incompressible Euler equation is global in time. However, it remains an outstanding open problem whether classical solutions of the surface quasi-geostrophic (SQG) equ...
Time domain numerical modeling of wave propagation in 2D heterogeneous porous media
porous media elastic waves Biot’s model time splitting
2011/3/2
This paper deals with the numerical modeling of wave propagation in porous media described by Biot’s theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear f...
H¨older Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing
Navier-Stokes equations H¨older continuity singular forcing.
2014/4/3
We discuss the regularity of solutions of 2D incompressible NavierStokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by the Navier-Stokes...
A NEW CLASS OF UNIFORMLY SECOND ORDER ACCURATE DIFFRENCE SCHEMES FOR 2D SCALAR CONSERVATION LAWS
2007/12/11
In this paper, concerned with the Cauchy problem for 2D nonlinear
hyperbolic conservation laws,we construct a class of uniformly second
order accurate finite difference schemes, which are based on t...
