An Explicit Difference Scheme for a Nonlinear Heat Conduction Equation
Б. Н. Четверушкин, O. G. Olkhovskaya, В. А. Гасилов
Abstract
Abstract We develop an algorithm for the numerical treatment of nonlinear heat conduction problems, which is adapted to the architecture of high-performance computing systems. The technique is based on a hyperbolic heat conduction model and explicit difference scheme. The new scheme provides the second-order temporal resolution of nonlinearity with an acceptable time step. Its application to plasma dynamic simulations is discussed.
Topics & Concepts
Thermal conductionNonlinear systemScheme (mathematics)Heat equationRelativistic heat conductionFinite difference schemeApplied mathematicsMathematicsPlasmaComputer scienceMathematical analysisHeat transferPhysicsMechanicsThermodynamicsHeat fluxQuantum mechanicsAquatic and Environmental StudiesDifferential Equations and Numerical MethodsPeatlands and Wetlands Ecology