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    <abstract>A simple nonlinear filter which completely removes negative values from the multidimensional numerical fields is presented.  This filter conserves the total mass (sum of all the elements in the field) with accuracy better than 0.0001%.  Also, the maxima and shape of the filtered function are un- altered.  Basically, the filter can be combined with an arbitrary method  used for the numerical solution of the advection equation.  Two-dimensional advective tests show that negative values are removed, and short waves are  significantly damped with the pseudospectral method.  The filtering algorithm is very simple.  Additional computational time required by the filter is  about 4% of that required by the pseudospectral method alone.</abstract>
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