Some New Algorithms for Boundary Value Problems in Smooth Particle Hydrodynamics

Abstract

A rederivation of the basic equations of smoothed particle hydrodynamics is given that removes some of the intuitive elements in earlier work. New algorithms are obtained for hydrodynamics with heat flow that include boundary terms. These algorithms permit application of the method to systems driven by external pressures or heat sources. Hydrodynamic work terms are different in the new algorithms and these terms may eliminate some difficulties encountered with expressions found in the literature. The method developed for thermal diffusion yields the fluxes directly and may be extended to a flux limited diffusion formulation of radiation transport. Keywords: Fluid dynamics; Heat flow.

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Document Details

Document Type
Technical Report
Publication Date
Jun 06, 1989
Accession Number
ADA211728

Entities

People

  • P. M. Campbell

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Energy
  • Equations
  • Fluid Dynamics
  • Geometry
  • Heat Flux
  • Hydrodynamics
  • Kinetic Energy
  • Pressure Distribution
  • Pressure Gradients
  • Radiation
  • Radiative Transfer
  • Security
  • Systems Engineering
  • Thermal Conductivity
  • Thermal Diffusion
  • Transport Ships

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)