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The Application of the Turkel–Zwas Explicit Large Time-Step Scheme to a Hemispheric Barotropic Model with Constraint Restoration
Publisher: American Meteorological Society
Abstract: The Turkel?Zwas (T?Z) explicit large time-step scheme addresses the issue of fast and slow time scales in shallow-water equations by treating terms associated with fast waves on a coarser grid but to a higher accuracy than ...
Combined Penalty Multiplier Optimization Methods to Enforce Integral Invariants Conservation
Publisher: American Meteorological Society
Abstract: An augmented Lagrangian multiplier-penalty method is applied for the first time to solving the problem of enforcing simultaneous conservation of the nonlinear integral invariants of the shallow water equations on a ...
The Collection Kernel for Two Falling Cloud Drops Subjected to Random Perturbations in a Turbulent Air Flow: A Stochastic Model
Publisher: American Meteorological Society
Abstract: A stochastic model is presented to compute the collection kernel of cloud drops affected by turbulent air fluctuations. The model is based on stochastic differential equations with ?white noise? terms representing the ...