Numerical solution of plasma fluid equations using locally refined grids

DOI10.1006/jcph.1999.6245zbMath0954.76062OpenAlexW2158925177MaRDI QIDQ1302925

Phillip Colella, Milo R. Dorr, Daniel D. Wake

Publication date: 22 September 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc623198/

zbMATH Keywords

Poisson's equationdrift-diffusion modelsemiconductorsenergy equationplasma fluid equationsblock-structured locally refined gridseffect of electrostatic forcesEuler equations for ion species

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Statistical mechanics of semiconductors (82D37) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Uses Software

• CVODE

Cites Work

• Unnamed Item
• Adaptive mesh refinement for hyperbolic partial differential equations
• Multidimensional upwind methods for hyperbolic conservation laws
• Local adaptive mesh refinement for shock hydrodynamics
• A conservative finite difference method for the numerical solution of plasma fluid equations
• A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
• Arnold and Arnold-like diffusion in many dimensions
• An adaptive mesh refinement algorithm for the radiative transport equation