Evaluation of the Filtered Leapfrog-Trapezoidal Time Integration Method

An analysis and evaluation are presented for a new method of time integration for fluid dynamic equations proposed by Dietrich. The method, called the filtered leap-frog-trapezoidal ( FLT) scheme, is analyzed for the one-dimensional constant-coefficient advection equation and is shown to have some advantages for quasi-steady flows. A modification( FLTW) using a weighted combination of FLT and leapfrog is developed which retains the advantages for steady flows, increases accuracy for time-dependent flows, and involves little coding effort. Merits and applicability are discussed.