Spectral discretization of Darcy's equations coupled with the heat equation
2016
In this paper we consider the heat equation coupled with Darcy's law with a nonlin-ear source term describing heat production due to an exothermic chemical reaction. Existence and uniqueness of a solution are established. Next, a spectral discretization of the problem is presented and thoroughly analysed. Finally, we present some numerical experiments which confirm the interest of the discretization.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
21
References
14
Citations
NaN
KQI