The Method of Artificial Compression Part 1 Shocks And Contact
The Method of Artificial Compression Part 1 Shocks And Contact
A Harten
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No artificial compression, the width of the transition is already 5 4 cells; for a > there is a steady progressing profile. For a = 10 (T = 7. 5) the width of the transition is 5 cells, and for a = 20 (T = 6. 0) the width is 3 cells. T is the time after 400 At. Although Yq(0) = Yq(1) = (13. 13), the ACM produces "shock-like" profiles. In all three cases the transition is monotone in each of the components, and u and p in the transition region are constant to a large number of digits. A correcti...ve type ACM for a system of conservation laws has the form (13. 16a) V = L V where L is some standard finite difference scheme, and It-, 1 /'i- \ n+1 _ ^n+1 (13. 16b) V = C V where C. Is a finite difference approximation to the single equation If C, 1 _
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