TY - BOOK
T1 - A compact high order finite volume scheme for advection-diffusion-reaction equations
AU - Anthonissen, M.J.H.
AU - Thije Boonkkamp, ten, J.H.M.
PY - 2009
Y1 - 2009
N2 - In this paper, we consider a coupled two-scale nonlinear reaction-diffusion system
modelling gas-liquid reactions. The novel feature of the model is the nonlinear transmission condition between the microscopic and macroscopic concentrations, given by a nonlinear Henry-type transfer function. The solution is approximated by using a Galerkin method adapted to the multiscale form of the system. This approach leads to existence and uniqueness of the solution, and can also be used for numerical computations for a larger class of nonlinear multiscale problems.
AB - In this paper, we consider a coupled two-scale nonlinear reaction-diffusion system
modelling gas-liquid reactions. The novel feature of the model is the nonlinear transmission condition between the microscopic and macroscopic concentrations, given by a nonlinear Henry-type transfer function. The solution is approximated by using a Galerkin method adapted to the multiscale form of the system. This approach leads to existence and uniqueness of the solution, and can also be used for numerical computations for a larger class of nonlinear multiscale problems.
M3 - Report
T3 - CASA-report
BT - A compact high order finite volume scheme for advection-diffusion-reaction equations
PB - Technische Universiteit Eindhoven
CY - Eindhoven
ER -