BALANCE AND CHARACTERISTICS CHEMES WITH STAGGERED CONSERVATIVE AND FLUXES VARIABLES ON PICEWISE-CONSTANT INITIAL DATES (PREPRINT IBRAE-2002-16)

Preprint IBRAE-2002-16

Goloviznin V.M., Karabasov S.A.

It is shown, that the “balance and characteristics” approach to construction of numerical algorithms for hyperbolic conservation laws gives on set piecewise – constant initial functions the exact decision of the elementary equation of convective transport. Two different realizations of the corresponding algorithm named as algorithm « jumping transport » are described. The new algorithm possesses the following properties: is explicit – does not demand procedures of the decision of systems of the linear equations, including procedure of “the running account”; – it is determined on constant minimally possible computing stencil – operates with grid function from two times layers within of one computational cell; – is conservative and monotonous at CFL numbers , smaller units; – on smooth function does not approximate the original equation in classical sense. Generalization of algorithm jumping transport on a case of non-uniform computational grids and on the convection – diffusion equation is given. Examples of test calculations are considered.

Bibliographical reference 

Goloviznin V.M., Karabasov S.A. BALANCE AND CHARACTERISTICS CHEMES WITH STAGGERED CONSERVATIVE AND FLUXES VARIABLES ON PICEWISE-CONSTANT INITIAL DATES. (In Russian). Preprint IBRAE-2002-16. Moscow: Nuclear Safety Institute, July 2002. 19 p. — Refs.: 22 items.