A version of a numerical solution for an integro-differential equation of heat conduction
Abstract
A finite element algorithm is developed for temperature field calculations in a limited region with allowance for the finite heat propagation rate under conditions of pulsed surface heating. An incremental finite element grid is used to eliminate oscillations behind the temperature wave front. An analysis of the calculation errors has made it possible to rationalize the selection of the integration scheme parameters. Results of calculations of the propagation and reflection of temperature waves produced by pulsed surface heating are presented.
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- January 1990
- Bibcode:
- 1990ZVMMF..30..156B
- Keywords:
-
- Finite Element Method;
- Heat Transfer;
- Temperature Distribution;
- Differential Equations;
- Flow Velocity;
- Hot Surfaces;
- Integral Equations;
- Fluid Mechanics and Heat Transfer