Global ETD Search
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Showing 1 to 8 of 8 for “"time-splitting"”.
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Two Problems in Computational Wave Dynamics: Klemp-Wilhelmson Splitting at Large Scales and Wave-Wave Instabilities in Rotating Mountain Waves
… are considered: (i) the use of Klemp-Wilhelmson time splitting at large scales and (ii) analysis of wave-wave instabilities in nonhydrostatic and rotating mountain waves. The use of Klemp-Wilhelmson (KW) time splitting for large-scale and global modeling is assessed through a series of von …
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ERROR ESTIMATES OF NUMERICAL METHODS FOR THE LONG-TIME DYNAMICS OF THE NONLINEAR KLEIN-GORDON EQUATION
… estimates of numerical methods for the long-time dynamics of the nonlinear Klein-Gordon equation (NKGE) with weak nonlinearity, which is characterized by $\varepsilon^2$ with $\varepsilon \in (0, 1]$ a dimensionless parameter.The analytical results indicate that the life-span of a smooth …
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Three-Dimensional Volume Averaged Soil-Moisture Transport Model: A Scalable Scheme for Representing Subgrid Topographic Control in Land-Atmosphere Interactions
… of the model, the mixed numerical scheme using a time splitting method is employed for each flow component. This research also focuses on the development and construction of appropriate Surface Boundary Conditions (SBCs) for mesoscale Regional Climate Model (RCM) applications. This conjunctive …
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Higher order numerical schemes for propagation of wind wave spectra
… area of any appreciable size, computational time and storage capacity limit resolution to relatively coarse grids in all four dimensions. Propagation schemes used in these models, typically the 1st order upwind scheme, encounter difficulty arising from the poor directional resolution …
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Adaptive timestepping for conservation laws via adjoint error representation
We study a recent timestep adaptation technique for hyperbolic conservation laws. The core of the method is a space-time splitting of adjoint error representations for target functionals due to Süli [47] and Hartmann [29]. It provides an efficient choice of timesteps for implicit computations of …
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High order hybrid discontinuous Galerkin regional ocean modelling
… societal applications, covering a wide range of time and space scales. However, in light of the strong nonlinearities observed in coastal regions and in biological processes, such modeling is challenging. An important subject that has been largely overlooked is the numerical requirements for …
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Mathematical Modeling of Fluid Spills in Hydraulically Fractured Well Sites
… were solved numerically using the MacCormack time-splitting finite difference scheme. Novel techniques allowed us to solve the shallow water equations over very steep slopes (>30%) and starting with very low fluid depths without encountering unrealistically high values of velocities or …
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Dynamic water quality modeling using cellular automata
… parameters, namely the size of the cells and the time step. Similarly, the rule for dispersion is also affected by numerical dispersion. But, contrary to advection, a procedure was developed that eliminates significant numerical dispersion associated with the dispersion rule. For first-order decay …