P.L. Roe (1987). Linear advection schemes on triangular meshes. CoA Report No. 8720, Cranfield Institute of Technology, November. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Development of Cell-vertex Multidimensional Upwind .. - Deconinck.. (1993) (Correct)
....R k ; where fi T i;k are weighting coefficients such that P i fi T i;k = 1 for conservation ( P i represents the summation over the three nodes of the triangle) and the fl T i;k sum up to the scalar fluctuation for the cell, OE k T . 3.3. 1 N scheme This scheme, proposed by Roe in [19], is the optimal linear positive scheme. In the case of the one inflow triangle shown in figure 3.3, the upwind strategy suggests sending all of the fluctuation to the unique downstream node N 3 : Res 3 Res 3 Phi k T : 3.12) For the two inflow triangle shown in Figure 3.4, with downstream ....
P.L. Roe (1987). Linear advection schemes on triangular meshes. CoA Report No. 8720, Cranfield Institute of Technology, November.
Implementation of Hamilton-Jacobi and Level Set Equations on.. - Barth, Sethian (1998) (Correct)
.... so that (26) can be expressed in the following canonical form H(ru) T = d 1 X i=1 K i u i with d 1 X i=1 K i = 0: 28) Once written in canonical form, we can draw upon a number of well known techniques for constructing positive coecient schemes for conservation laws due to Roe [14] [15] and Deconinck et al. 9] The basis for these schemes is the following straightforward manipulation of the canonical form d 1 X i=1 K i u i = d 1 X j=1 K j u j d 1 X i=1 K i u i = d 1 X l=1 K l 1 d 1 X i=1 K i d 1 X j=1 K j u j d 1 X l=1 ....
Roe, P.L., Linear Advection Schemes on Triangular Meshes, CoA 8720, Craneld Institute of Technology, 1987
Numerical Schemes for the Hamilton-Jacobi and Level Set.. - Barth, Sethian (1997) (15 citations) (Correct)
.... so that (32) can be expressed in the following canonical form H(ru) T = d 1 X i=1 K i u i with d 1 X i=1 K i = 0: 34) Once written in canonical form, we can draw upon a number of well known techniques for constructing positive coe cient schemes for conservation laws due to Roe [22] [23] and Deconinck et al. 13] The basis for these schemes is the following straightforward manipulation of the canonical form d 1 X i=1 K i u i = d 1 X j=1 K j u j d 1 X i=1 K i u i = d 1 X l=1 K l 1 d 1 X i=1 K i d 1 X j=1 K j u j d 1 X l=1 ....
P. L. Roe. Linear advection schemes on triangular meshes. Technical Report CoA 8720, Craneld Institute of Technology, 1987.
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