An alternative procedure to avoid excessive numerical diffusion with the ELLAM

Anis YOUNES, Philip ACKERER & Anis YOUNES
In this work, the Eulerian-Lagrangian Localized Adjoint Method (ELLAM) is improved to better reduce the numerical diffusion when solving Advection Diffusion Equations (ADE). The ELLAM preserves the performance of characteristic methods and treats general boundary conditions naturally in their formulations. ELLAM is accurate for large time steps. However, when using several time steps, it is known that they suffer from numerical diffusion [2]. Because the location of the foot of the characteristic does not coincide...
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