A two dimensional numerical model of shallow water equations was developed tocalculate sub and super-critical open channel flows. Utilizing an implicit scheme the steady stateequations were discretized based on control volume method. Collocated grid arrangement was appliedwith a SIMPLEC like algorithm for depth-velocity coupling. Power law scheme was used fordiscretization of convection and dif...

This paper presents a numerical analysis for the time-implicit approximation of Boltzmann equation based on moment system in velocity dependence and discontinuous Galerkin finite-element (DGFE) time position dependence. The implicit nature DGFE method provides robust algorithm solutions equation. closure relation systems derives from minimization suitable φ -divergence. We present sufficient co...

The divergence constraint of the incompressible Navier–Stokes equations is revisited in the mixed finite element framework. While many stable and convergent mixed elements have been developed throughout the past four decades, most classical methods relax the divergence constraint and only enforce the condition discretely. As a result, these methods introduce a pressure-dependent consistency err...

In this paper a Godunov-type projection method for computing approximate solutions of the zero Froude number (incompressible) shallow water equations is presented. It is second-order accurate and locally conserves height (mass) and momentum. To enforce the underlying divergence constraint on the velocity field, the predicted numerical fluxes, computed with a standard second order method for hyp...