Search results for " Mass conservation"

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The MAST-edge centred lumped scheme for the flow simulation in variably saturated heterogeneous porous media

2012

A novel methodology is proposed for the solution of the flow equation in a variably saturated heterogeneous porous medium. The computational domain is descretized using triangular meshes and the governing PDEs are discretized using a lumped in the edge centres numerical technique. The dependent unknown variable of the problem is the piezometric head. A fractional time step methodology is applied for the solution of the original system, solving consecutively a prediction and a correction problem. A scalar potential of the flow field exists and in the prediction step a MArching in Space and Time (MAST) formulation is applied for the sequential solution of the Ordinary Differential Equation of…

Numerical AnalysisPhysics and Astronomy (miscellaneous)DiscretizationApplied MathematicsLinear systemScalar potentialGeometryFinite element methodSettore ICAR/01 - IdraulicaComputer Science ApplicationsComputational MathematicsHydraulic headRate of convergenceVariably saturated porous medium Numerical model Finite element Lumped scheme Mass conservation Unstructured mesh Analytical solutionModeling and SimulationOrdinary differential equationApplied mathematicsVariably saturated porous medium Numerical model Finite element Lumped scheme Mass conservation Unstructured mesh Analytical solutionConservation of massMathematicsJournal of Computational Physics
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