On a new finite-difference scheme for the non-stationary Navier-Stokes equations
A. Krzywicki (1968)
Colloquium Mathematicae
Similarity:
A. Krzywicki (1968)
Colloquium Mathematicae
Similarity:
Kozel, K.
Similarity:
Maria Francesca Carfora, Roberto Natalini (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
In this paper we introduce a new class of numerical schemes for the incompressible Navier-Stokes equations, which are inspired by the theory of discrete kinetic schemes for compressible fluids. For these approximations it is possible to give a stability condition, based on a discrete velocities version of the Boltzmann H-theorem. Numerical tests are performed to investigate their convergence and accuracy.
Luís Borges, Adélia Sequeira (2008)
Banach Center Publications
Similarity:
In this paper we apply a domain decomposition method to approach the solution of a non-Newtonian viscoelastic Oldroyd-B model. The numerical scheme is based on a fixed-point argument applied to the original non-linear system of partial differential equations decoupled into a Navier-Stokes system and a tensorial transport equation. Using a modified Schwarz algorithm, involving block preconditioners for the Navier-Stokes equations, the decoupled problems are solved iteratively. Numerical...
Matania Ben-Artzi, Dalia Fishelov, Shlomo Trachtenberg (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We present a new methodology for the numerical resolution of the hydrodynamics of incompressible viscid newtonian fluids. It is based on the Navier-Stokes equations and we refer to it as the vorticity projection method. The method is robust enough to handle complex and convoluted configurations typical to the motion of biological structures in viscous fluids. Although the method is applicable to three dimensions, we address here in detail only the two dimensional case. We provide numerical...