HIGH-PRECISION NUMERICAL SIMULATION WITH AUTOADAPTATIVE GRID TECHNIQUE IN NONLINEAR THERMAL DIFFUSION
- 1 March 1992
- journal article
- research article
- Published by Informa UK Limited in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 21 (2), 199-216
- https://doi.org/10.1080/10407799208944916
Abstract
Many engineering problems concern the determination of a steady state solution in the case with strong thermal gradients, and results obtained using the finite-element technique are sometimes inaccurate, particularly for nonlinear problems with unadapted meshes. Building on previous results in linear problems, we propose an autoadaptative technique for nonlinear cases that uses quasi-Newtonian iterations to reevaluate an interpolation error estimation. We perfected an automatic refinement technique to solve the nonlinear thermal problem of temperature calculus in a cast-iron cylinder head of a diesel engine.Keywords
This publication has 3 references indexed in Scilit:
- Some a posteriori error estimators for elliptic partial differential equationsMathematics of Computation, 1985
- ADAPTIVE FINITE ELEMENT PROCESSES IN STRUCTURAL MECHANICSPublished by Elsevier BV ,1984
- On a Theory of Mesh-Refinement ProcessesSIAM Journal on Numerical Analysis, 1980