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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Moving Equilibrium1.2• Initial ConditionsFinal time = 0.3810.80.6hx ( )⎧H( x, q0, ε0) + 0.001, x∈[0.45,0.55]= ⎨⎩ H( x, q0, ε0), otherwise0 00.40.2u = q / h ( x), x∈[0,1]00 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1bx ( )( π x )⎧⎪ 0.25 1+ cos 20 ( −0.65) , x∈[0.6,0.7]= ⎨ ⎪ ⎩0.0, otherwise