Numerical solvers for 1-dimensional advection equations implemented in Matlab and C++. The uwpind, Lax-Wendorff, and MC limiter methods are used to solve the following problem:
where
Finite volume methods compute the "density" ,Q, using the fluxes at the cell edge:
The term density is used to describe the amount of whatever substance we are trying to model. Below are the results:
Upwind:
Lax Wendroff:
MC limiter:
