G. H. Miller and E. G. Puckett. A high-order Godunov method for multiple condensed phases. J. Comp. Phys., 128:134--164, 1996.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....systems, but the approach applies to twodimensional systems (e.g. r ) as well. The single grid method is a fractional step scheme which uses a higher order Godunov method for gas dynamics with a general convex EOS in a single space variable [7] see also the summary description in [21]. This scheme is coupled to a local adaptive mesh refinement (AMR) algorithm [1, 3, 4] that selectively and automatically refines regions of the computational grid in order to achieve a desired level of accuracy with a minimal amount of computational effort. The single grid scheme and the AMR ....

....R 1 and L 1 with the row and column interchanges described in the previous paragraph. We note that the matrix B d can be rewritten as B d =h d . The matrix B d is then identical to the corresponding matrix in the quasilinear form of the equations of gas dynamics in rectangular coordinates [7, 21], given the identification of x 1 with x, etc. 4 Single Grid Algorithm We now describe the numerical method for integrating (3.1) on a single grid. We use a uniform computational grid with cell widths Deltax 1 ; Deltax 2 ; Deltax 3 indexed by i; j; k. Computational cell i; j; k is ....

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G.H. Miller and E.G. Puckett. A high-order Godunov method for multiple condensed phases. submitted to J. Comput. Phys., 1995.

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G. H. Miller and E. G. Puckett. A high-order Godunov method for multiple condensed phases. J. Comp. Phys., 128:134--164, 1996.

....of a small amount of additional dissipation at strong shocks. This dissipation is added by introducing an additional slope limiter via a flattening parameter (see Eq. 27) A variety of flattening strategies have been proposed. Perhaps the simplest variant, employed by Miller and Puckett [14], uses the divergence of the velocity to detect potential shocks, and uses a simple measure of shock strength, the ratio of pressure jump across a cell to the isentropic bulk modulus, ##P #=K S where KS # P= ### # S , to compute a flattening measure. This introduces additional dissipation in ....

G. H. Miller and E. G. Puckett. A high-order Godunov method for multiple condensed phases. J. Comp. Phys., 128:134--164, 1996.

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