Using Lagrangian energy coordinates for the numerical solution of a onedimensional heat conduction equation
Abstract
A method for the numerical solution of a nonlinear heat conduction equation is described which uses a Lagrangian difference grid moving in space together with thermal energy. The accuracy and efficiency of the difference scheme proposed here are compared with those of an ordinary implicit scheme in Euler coordinates, with the propagation of a heat wave from an instantaneous plane source used as the model problem.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 August 1986
 Bibcode:
 1986ZVMMF..26.1258B
 Keywords:

 Conductive Heat Transfer;
 Finite Difference Theory;
 Lagrange Coordinates;
 Thermal Conductivity;
 Computational Grids;
 Differential Equations;
 Iteration;
 Nonlinear Equations;
 Fluid Mechanics and Heat Transfer