It is shown that the cubic law solution overestimates the permeability as modeled by the 3D numerical simulation of flow in fractures.
Therefore, we advocate a gradient-based, full space solver where the mesh and conservation law solution converge to their optimal values simultaneously and therefore never require the solution of the discrete conservation law on a non-aligned mesh.
Power-law solutions have little appeal to the right because they involve special treatment for people who do not deserve it and little appeal to the left because of the emphasis on efficiency over fairness….
Power-law solutions have little appeal to the right because they involve special treatment for people who do not deserve it and little appeal to the left because of the emphasis on efficiency over fairness… View Article Malcolm Gladwell has been a staff writer for the The New Yorker since 1996.
For viscous conservation laws, solutions contain smooth but high-contrast features, which require the use of fine grids to properly resolve.
Our analysis suggests that this feature is shared by the best power-law solutions (first ten of the selected power-law solutions, all them with steep sigmoidal curves).
The other power-law solutions have a LA curve similar to the one obtained for the selected model (data not shown).
As a result, conservation laws, solution symmetries, and the fundamental identities of the vector and tensor calculus are held for discrete models.
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Instead, we need to question and redesign every process, service, including who is providing what service, and go outside the law for solutions to everyday legal problems.
