Dynamically Adaptive Simulations with Minimal Memory Requirement—Solving the Shallow Water Equations Using Sierpinski Curves

DOI10.1137/080728871zbMath1410.76149OpenAlexW2074048905MaRDI QIDQ3079331

Johannes Schwaiger, Christian Böck, Csaba Vigh, Michael Bader

Publication date: 2 March 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080728871

zbMATH Keywords

shallow water equationsdiscontinuous Galerkin methodspace-filling curvesSierpiński curvedynamic remeshingmemory-efficient algorithmssimulation on adaptive grids

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Waves for incompressible viscous fluids (76D33)

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