hi, can anyone give me a brief description of TVD schemes. i.e. what is a TVD scheme?

what are the main theories behind then and under what circumstances are they useful???

thanks h

there is a full theoretical explanation in Toro's book. try to read chapters 13, 14. the book is:

Riemann Solvers and Numerical Methods for Fluid Dynamics

2nd Edition. by E.F. Toro

Please check

S. Gottlieb and C. W. Shu, Total variation diminishing Runge-Kutta schemes, Math. Comp. 67, 73-85 (1998).

Culbert Laney's Textbook, Computational Gasdynamics gives an excellent overview of total variance diminishing (TVD) schemes. It is an excellent text book for high speed gas flows.

Ryoga