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A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations
error estimations mixed finite-element the Navier-Stokes equations
2010/11/18
A posteriori estimates for mixed finite element discretizations of the Navier-Stokes equations are derived. We show that the task of estimating the error in the evolutionary Navier-Stokes equations ca...
Zero dissipation limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations
rarefaction wave vacuum for 1-D compressible Navier-Stokes equations
2010/11/15
It is well-known that one-dimensional isentropic gas dynamics has two elementary waves, i.e., shock wave and rarefaction wave. Among the two waves, only the rarefaction wave can be connected with vac...
Static two-grid mixed finite-element approximations to the Navier-Stokes equations
Static two-grid mixed finite-element the Navier-Stokes equations
2010/11/19
A two-grid scheme based on mixed finite-element approximations to the incompressible Navier-Stokes equations is introduced and analyzed. In the first level the standard mixed finite-element approxima...
Euler Equations, Navier-Stokes Equations and Turbulence
Euler Equations Navier-Stokes Equations Turbulence
2014/4/4
In 2004 the mathematical world will mark 120 years since the advent of turbulence theory ([80]). In his 1884 paper Reynolds introduced the decomposition of turbulent ow into mean and uctuation and der...