Journal ArticleDOI
Dynamic Subtiming-Based Implicit Nonoscillating Scheme for Contaminant Transport Modeling
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TLDR
In this paper, a dynamic subtime-stepping method is described for solving contaminant transport problems that utilize higher-order implicit time-marching procedures with higher-accuracy nonoscillating spatial-discretization methods to resolve sharp-plume fronts in advection-dominated systems.Abstract:
A dynamic subtime-stepping method is described for solving contaminant transport problems that utilize higher-order implicit time-marching procedures with higher-accuracy nonoscillating spatial-discretization methods to resolve sharp-plume fronts in advection-dominated systems. Nonoscillating spatial-discretization methods for the advective term prevent unphysical oscillations and minimize numerical diffusion. Second-order temporal accuracy is achieved by using the Crank-Nicholson implicit scheme, however nonoscillating properties may be violated for Courant Numbers larger than one, leading to spurious oscillations. The proposed subtiming method allows use of small time-step sizes in critical portions of a domain, with larger time-step sizes in other locations. This locally limits the Courant number where required and still keeps the general solution free of time-step size restrictions. This technique makes it possible to apply higher-order nonoscillating schemes with higher-order temporal weighti...read more
Citations
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A new approach to the local time stepping problem for scalar transport
TL;DR: In this paper, a new scalar transport method is proposed to reduce computational time when a large number of scalars are transported in coupled hydrodynamic-ecosystem models.
Journal ArticleDOI
Transport of E. coli in saturated and unsaturated porous media: effect of physiological state and substrate availability
TL;DR: Saturated and unsaturated sand and soil column experiments were conducted to study the complex interaction between the effects of biological and hydrological factors on the transport of bacteria through a porous medium as discussed by the authors.
References
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Dinshaw S. Balsara,Chi-Wang Shu +1 more
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Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
TL;DR: In this article, a new fifth-order weighted essentially non-oscillatory (ENO) scheme is developed, and necessary and sufficient conditions on the weights for fifth order convergence are derived.
A class of high resolution explicit and implicit shock-capturing methods
TL;DR: A unified and generalized formulation of a class of high-resolution, explicit and implicit shock capturing methods to illustrate their versatility in various steady and unsteady complex shock waves, perfect gases, equilibrium real gases and nonequilibrium flow computations is attempted.
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Explicit schemes for dam-break simulations
TL;DR: In this paper, the authors compared the performance of 20 explicit numerical schemes used to solve the shallow water wave equations for simulating the dam-break problem and compared their results with analytical solutions to the problem with finite water depth and dry bed downstream of the dam.