High order well balaced schemes for systems of - Philippe LeFloch
High order well balaced schemes for systems of - Philippe LeFloch
High order well balaced schemes for systems of - Philippe LeFloch
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Numerical local equilibriaSolve Eq.(1) and (2) numerically, e.g. by collocation.Look <strong>for</strong> an approximate solution in a finitedimensional space, say polynomial <strong>of</strong> degreewhich gives p+1 equations <strong>for</strong> p+1 unknownsRemarks• By piacewise local equilibria one can construct WB<strong>schemes</strong> <strong>of</strong> <strong>order</strong> one.• The quality <strong>of</strong> WB property depends on the accuracy <strong>of</strong>the solution <strong>of</strong> local equilibria (at equilibrium there arejumps )
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