The Difference Energy Concerted Conservative Numerical Technique for Convection Equation.

Abstract: Difference energy concerted conservative numerical technique (ECC) for solving time dependent convection equation is proposed. The method is based on the approximation of two conservation laws both for original unknown function and its square value ('energy'). This approach allows to avoid a smoothing of the solution with high gradient values. The method can use for arbitrary CFL values. The test computation is carried out to prove this statement. The generalization of the scheme for convection diffusion equation with high Reynolds number values is considered.Note: Research direction:Mathematical problems and theory of numerical method