Abstract
Nowadays, reverse simulation seems a promising topic for environment research. Mathematically, a reverse simulation is the solution of a transport equation in negative time. The process of a transport equation is equivalent to that of positive time with negative convection and diffusion. However, there is a numerical instability problem with solving the diffusion term. This research introduces a method to improve numerical stability in reverse simulation by applying a low-pass filter. This is a Gaussian filter that is well established in LES, with a free-slip boundary condition for filter operation. Two examples are given in this paper. In the first, a simple planar wind flow is considered and pollutant is emitted uniformly over time. In the second example, a wind flow around a single building is considered.
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