1995
DOI: 10.1175/1520-0493(1995)123<0553:acosli>2.0.co;2
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A Class of Semi-Lagrangian Integrated-Mass (SLM) Numerical Transport Algorithms

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Cited by 57 publications
(68 citation statements)
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“…These standard test problems have been widely used to evaluate transport schemes (Rancić, 1992(Rancić, , 1995Williamson et al, 1992;Laprise and Plante, 1995;Leslie and Purser, 1995;Lin and Rood, 1996;Nair and Machenhauer, 2002;Nair et al, , 2003Zerroukat et al, 2004Zerroukat et al, , 2007 with error measures defined in Williamson et al (1992). The remapping algorithm used for all experiments presented herein is the parabolic spline method (Zerroukat et al, 2006), without and with a monotonic filter.…”
Section: Test Problems and Resultsmentioning
confidence: 99%
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“…These standard test problems have been widely used to evaluate transport schemes (Rancić, 1992(Rancić, , 1995Williamson et al, 1992;Laprise and Plante, 1995;Leslie and Purser, 1995;Lin and Rood, 1996;Nair and Machenhauer, 2002;Nair et al, , 2003Zerroukat et al, 2004Zerroukat et al, , 2007 with error measures defined in Williamson et al (1992). The remapping algorithm used for all experiments presented herein is the parabolic spline method (Zerroukat et al, 2006), without and with a monotonic filter.…”
Section: Test Problems and Resultsmentioning
confidence: 99%
“…This lack has often been dealt with by the use of a 'mass fixer', whereby global mass conservation is restored diagnostically (Priestley, 1993). To avoid this ad hoc procedure, a number of schemes have been proposed that inherently conserve mass (Rancić, 1992(Rancić, , 1995Laprise and Plante, 1995;Leslie and Purser, 1995;Lin and Rood, 1996;Xiao and Yabe, 2001;Nair and Machenhauer, 2002;Nair et al, , 2003Kaas, 2008), including the SLICE scheme (Zerroukat et al, 2002(Zerroukat et al, , 2004(Zerroukat et al, , 2005(Zerroukat et al, , 2006(Zerroukat et al, , 2007. Recently, some of these schemes have been applied in the context of coupled atmospheric equation sets (Lauritzen et al, 2006(Lauritzen et al, , 2008.…”
Section: Introductionmentioning
confidence: 99%
“…Initially, a set Ξ ⊂ Ω of 1500 randomly distributed nodes is chosen. The initial condition (19) is used in order to assign a cell average valueū V (0) in (9) to each Voronoi cell V ∈ V Ξ of the initial Voronoi diagram V Ξ . The initial nodes are automatically adapted to the discontinuities of the initial condition u 0 , by using the adaption strategy discussed in the previous Section 5, see Figures 10 (b),(c).…”
Section: Methodsmentioning
confidence: 99%
“…Slope limiters are typically employed in TVD (Total Variation Diminishing) schemes in order to avoid spurious oscillations of the solution. In order to match the restrictions (11), this needs merely a local correction of u h , so that the resulting modification of u h continues to satisfy (9). To this end, we follow along the lines of the construction in [19].…”
Section: Reconstruction From Cell Average Valuesmentioning
confidence: 99%
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