Capturing Large Variations using FINITE DIFFERENCE
Hello "Gurus",
I am doing a 1D flow using finite difference in Conservation forms. There are quite a large variations in density and velocity expected towards the END side. And boundary values are calculated using LINEAR EXTRAPOLATION. The program develops HUGE VALUES of density and velocity and goes unstable towards the BOUNDARY ENDSIDE. Other grid points away from boundary are OKEY. Shall I increase the gridsize or REDUCE the timestep? Can anybody help? 
Re: Capturing Large Variations using FINITE DIFFERENCE
(1). What is the problem you are trying to solve? (2). Based on your description, it is hopeless. You have both the accuracy problem and the stability problem. (3). It is a good idea to look for a working method first.

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