A Memory-Efficient Finite Volume Method for Advection-Diffusion-Reaction Systems with Non-Smooth Sources

@inproceedings{Schfer2013AMF,
  title={A Memory-Efficient Finite Volume Method for Advection-Diffusion-Reaction Systems with Non-Smooth Sources},
  author={Jonas Sch{\"a}fer and Xuan Huang and Stefan Kopecz and Philipp Birken and Matthias K. Gobbert and Andreas Meister},
  year={2013}
}
We present a parallel matrix-free implicit finite volume scheme for the solution of unsteady three-dimensional advection-diffusion-reaction equations with smooth and Dirac-Delta source terms. The scheme is formally second order in space and a Newton-Krylov method is employed for the appearing nonlinear systems in the implicit time integration. The matrix-vector product required is hardcoded without any approximations, obtaining a matrix-free method that needs little storage and is well suited… CONTINUE READING
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