Augmented Riemann solver for urethra flow modeling
In this paper we propose a new conservative numerical scheme for the male urethra and ureter thud flow simulations We use finite volume method based on technique of augmented system Main goal is to construct such conservative scheme which maintains not only some special steady states hut all possible ones Furthermore this scheme should preserve non-negativity of essentially nonnegative quantities from their physical fundamental (here it Is the cross-section of the urethra and ureter) Our scheme can he also modified to the high order scheme At the end we present some numerical experiments (C) 2009 IMACS Published by Elsevier B V All rights reserved
finite volumes steady states urethra fluid flow modeling