2013/09/11 by Mercier, Olivier, Xi–Yuan Yin, Yin, Xi-Yuan +2 · 2 citations
Environmental Science · Engineering · #Hydrology and Watershed Management Studies #Groundwater flow and contamination studies #Reservoir Engineering and Simulation Methods
paper · pdf · doi:10.48550/arxiv.1309.2731
We present a new numerical method for transporting arbitrary sets in a\nvelocity field. The method computes a deformation mapping of the domain and\nadvects particular sets by function composition with the map. This also allows\nfor the transport of multiple sets at low computational cost. Our strategy is\nto separate the computation of short time advection from the storage and\nrepresentation of long time deformation maps, employing appropriate grid\nresolution for each of these two parts. We show through numerical experiments\nthat the resulting algorithm is accurate and exhibits significant reductions in\ncomputational time over other methods. Results are presented in two and three\ndimensions, and accuracy and efficiency are studied.\n