Mixed, Nonsplit, Extended Stability, Stiff Integration of Reaction Diffusion Equations
Type
ThesisAuthors
Alzahrani, Hasnaa H.
Advisors
Knio, Omar
Committee members
Gomes, Diogo A.
Laleg-Kirati, Taous-Meriem

Parsani, Matteo

Date
2016-07-26Permanent link to this record
http://hdl.handle.net/10754/617606
Metadata
Show full item recordAbstract
A tailored integration scheme is developed to treat stiff reaction-diffusion prob- lems. The construction adapts a stiff solver, namely VODE, to treat reaction im- plicitly together with explicit treatment of diffusion. The second-order Runge-Kutta- Chebyshev (RKC) scheme is adjusted to integrate diffusion. Spatial operator is de- scretised by second-order finite differences on a uniform grid. The overall solution is advanced over S fractional stiff integrations, where S corresponds to the number of RKC stages. The behavior of the scheme is analyzed by applying it to three simple problems. The results show that it achieves second-order accuracy, thus, preserving the formal accuracy of the original RKC. The presented development sets the stage for future extensions, particularly, to multidimensional reacting flows with detailed chemistry.Citation
Alzahrani, H. H. (2016). Mixed, Nonsplit, Extended Stability, Stiff Integration of Reaction Diffusion Equations. KAUST Research Repository. https://doi.org/10.25781/KAUST-070XMae974a485f413a2113503eed53cd6c53
10.25781/KAUST-070XM