We introduce new Godunov-type semidiscrete central schemes for hyperbolic systems of
conservation laws and Hamilton--Jacobi equations. The schemes are based on the use of …

Solution of twoâ•’dimensional Riemann problems for gas dynamics without Riemann problem
solvers Page 1 Solution of Two-Dimensional Riemann Problems for Gas Dynamics without …

We present a second-order finite-difference scheme for viscoelastic flows based on a recent
reformulation of the constitutive laws as equations for the matrix logarithm of the …

We present one-and two-dimensional central-upwind schemes for approximating solutions
of the Saint-Venant system with source terms due to bottom topography. The Saint-Venant …

In this paper, we review and construct fifth-and ninth-order central weighted essentially
nonoscillatory (WENO) schemes based on a finite volume formulation, staggered mesh, and …

Hydrogen fuel, as for now, is the most energy efficient and clean fuel for aviation engines. At
present time RAM engines based on chemical burning of fuels and accelerating exhaust …

We study central-upwind schemes for systems of hyperbolic conservation laws, recently
introduced in [13]. Similarly to staggered non-oscillatory central schemes, these schemes …

We present a fully three-dimensional magnetohydrodynamic model of the solar corona and
solar wind with turbulence transport and heating. The model is based on Reynolds …

Shallow-water equations are widely used to model water flow in rivers, lakes, reservoirs,
coastal areas, and other situations in which the water depth is much smaller than the …

We present the first fourth-order central scheme for two-dimensional hyperbolic systems of
conservation laws. Our new method is based on a central weighted nonoscillatory approach …