EPL, 86 (2009) 14004
DOI: 10.1209/0295-5075/86/14004

An enthalpy-based thermal lattice Boltzmann model for non-isothermal systems

Dipankar Chatterjee

LPMI, Arts et Métiers Paris Tech - 2 Boulevard du Ronceray, BP 93525, 49035 Angers, Cedex 01, France, EU

rsdchat@yahoo.co.in

received 28 December 2008; accepted in final form 10 March 2009; published April 2009
published online 20 April 2009

Abstract
An enthalpy-based thermal lattice Boltzmann model is introduced for simulating a class of strongly coupled thermo-hydrodynamic problems. The novelty of the model lies in the formulation of an enthalpy density distribution function to simulate the temperature field, in place of the existing internal energy density distribution function. The proposed model has a clear advantage over the earlier internal energy density distribution function based thermal lattice Boltzmann model, in a sense that it can simulate certain classes of thermofluidic transport problems without facing mathematical difficulties in handling with additional energy source terms.

PACS
47.11.St - Multi-scale methods.
44.35.+c - Heat flow in multiphase systems.

© EPLA 2009