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High spatial variability has been observed in simple fuelbeds (Keane et al.2012, Hiers et al. 2009) which accentuates the need to describe the actual fuel arrangement and composition of fuels in a prescribed or wildfire operation setting...
Recently nonlocal continuum models have gained interest as alternatives to traditional PDE models due to their capability of handling solutions with discontinuities and their ease of modeling anomalous diffusion. The typical approach...
Mass Conserving Hamiltonian-Structure-Preserving Reduced Order Modeling for the Rotating Shallow Water Equations Discretized by a Mimetic Spatial Scheme
Ocean modeling, in a climate-modeling context, requires long time-horizons over global scales, which when combined with accurate resolution in time and space makes simulations very time-consuming. While high-resolution ocean-modeling...
Low-rank matrix approximation is extremely useful in the analysis of data that arises in scientific computing, engineering applications, and data science. However, as data sizes grow, traditional low-rank matrix approximation methods, ...
We create a novel framework to enable the exploration of spatial calcium dynamics in astrocytes via compartmentalization of the cell domain. The cell is split up into spatially partitioned compartments representing sub-cellular domains...
Corrosion adversely affects the performance of metal alloys that are widely used as structural materials in the automobile, naval, and aircraft industries. In this work, we present a simplified multiphase (solid, liquid, and porous...
Stochastic Navier-Stokes equations have been widely applied in various computational fluid dynamics (CFD) fields in recent years. It can be considered as another milestone in CFD. Our work focuses on exploring some theoretical and...
Karst aquifers are vulnerable to contamination, as conduits and fractures in the aquifers are preferential flow paths where contaminants move fast. On the other hand, the presence of conduits and fractures make groundwater modeling for...
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