A simplified TVD finite difference sheme via artificial viscousity
SIAM Journal on Scientific and Statistical Computing - Papers from the Second Conference on Parallel Processing for Scientific Computin
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Finite difference schemes and partial differential equations
Finite difference schemes and partial differential equations
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Mathematical and Computer Modelling: An International Journal
A nonuniform mesh semi-implicit CE-SE method modelling unsteady flow in tapered ducts
Mathematics and Computers in Simulation
Mathematical and Computer Modelling: An International Journal
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In order to obtain a reliable numerical solution, with low computational cost, for a differential equation system modelling the unsteady flow with chemical species tracking in tapered ducts of reciprocating internal combustion engine, three characteristics of numerical resolution schemes have to be considered. Firstly, the scheme must show a total variation decreasing (TVD) behavior, also the internal calculations have to be simple and finally, the mass conservation property of each species has to be carried out.With these requirements, a semi-implicit numerical method based in the conservation element-solution element (CE-SE) method is presented. This method helps to obtain a solution where the mass conservation property of each species is improved in relation to the CE-SE method. This last improvement is studied in several real examples with two species in conical ducts.