The Forward–in-Time Upstream Advection Scheme: Extension to Higher Orders

摘要: Abstract A generalized forward-in-time upstream advective operator following the methodology of Crowley is developed and schemes orders 1 through 10 are tested analytically numerically. Flux forms these also derived with Crowley’s methodology. It shown that thew flux do not reduce to form constant velocity grid spacing for order 3 higher they as accurate form. new which does under conditions spacing. The were in two dimensions using time splitting. In rotating cone test, performed identically, while other had larger dissipation dispersion errors. deformational flow field unstable both steps tested. Use less Courant number domain a whole was stable fo...