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parDG

swMATH ID: 18743
Software Authors: Diehl, Dennis
Description: Higher-order schemes for simulation of compressible liquid-vapor flows with phase change. With CD-ROM. The aim of this thesis is the numerical simulation of two-phase flows undergoing dynamical phase transitions. Such flows are of highly industrial interest since collapsing cavitation bubbles are responsible for erosion damage on ship propellers, pumps and turbines. Lord Rayleigh recognized in 1917 that collapsing vapor bubbles can cause this kind of damage. In this work the flow is modeled by the Navier-Stokes-Korteweg equations which belong to the class of Diffuse-Interface models. We develop efficient and reliable numerical schemes based on modern numerical techniques such as higher order Discontinuous Galerkin schemes, local mesh adaption, parallelization and load-balancing in multiple space dimensions. We provide a software package (written in C++) for the discretization of general time dependent partial differential equations. The discretization of the Navier-Stokes-Korteweg model is done on the basis of this package. For the validation of the resulting schemes special (quasi-exact) solutions are constructed. Several benchmarks show the efficiency and reliability of the methods. However, physical experiments are not available on the length scale that can be simulated and therefore the results cannot compared to real world data.
Homepage: https://freidok.uni-freiburg.de/fedora/objects/freidok:3762/datastreams/FILE1/content
Keywords: discontinuous Galerkin method; explicit Runge-Kutta scheme; Navier-Stokes-Korteweg model; C++ software package
Related Software: FLEXI; HE-E1GODF; PETSc; ParMETIS; PolyMesher; PETSc/TS; NLIGA; PetIGA; FEniCS; RODAS; DOLFIN; ISTL; UG; FLENS; deal.ii; DUNE-FEM; DUNE; ALBERTA; UMFPACK; rbMIT
Cited in: 23 Documents

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