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The pressure drop as well as the overall lifetime of wall flow diesel particulate filters is strongly influenced by the capability of storing non-combustible ash. One approach to reach low pressure drops and long filter lifetimes is the application of optimized channel geometries. This study presents a comprehensive simulation approach for filters with asymmetrical channel structures in the presence of soot and ash. The wall flow model, soot loading and regeneration approaches are discussed with all model equations. The soot filtration model distinguishes between the regimes of depth and cake filtration. The regeneration model takes into account soot regeneration reactions, catalytically supported soot reactions and catalytic wall reactions. The simulated pressure drop of filters with different channel diameters at different operating conditions is compared to measured values. The predicted pressure drop due to depth and cake filtration is compared to experimental data.