Shallow Water Equations
2 Discrete formulation of the shallow water equations
... The equations are derived from depth-integrating the Navier-Stokes equations in the case where the horizontal length scale is much greater than the vertical length ...derivation shallow water ...
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Modified method of characteristics for the shallow water equations
... Keywords Shallow water equations; Open channel Flow, Numerical models; Method of Characteristics 1 - Introduction Flow in open channels is frequently modelled using a staggered finite difference ...
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Symmetry Properties and Solutions of Shallow Water Equations
... [6] S. Yu. Dobrokhotov, V. E. Nazaikinskii, B. Tirozzi. Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I, Russ. J. Math. Phys., 2010, Vol. 17, No. 4, ...
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A Fast and Compact Solver for the Shallow Water Equations
... the shallow water equations. The water velocity and height variables are collocated on a uniform grid and a novel, unified scheme is used to advect all quantities ...
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Efficient solvers for the shallow water equations on a sphere
... (Received 29 October 2012; revised 3 June 2013) Abstract We present a finite element method using spherical splines to solve the shallow water equations on a sphere involving satellite data. We ...
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Imperfect bifurcation for the quasi geostrophic shallow water equations
... Quasi-Geostrophic Shallow-Water ...Euler equations, likely separates into an infinite set of disjoint branches for any finite value of the Rossby deformation length ε −1 ...
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A Similarity Technique for Solving Two Layer Shallow Water Equations
... Received December 28, 2011; revised February 10, 2012; accepted February 17, 2012 ABSTRACT This paper is devoted to the analysis of the two-layer shallow-water equations representing gravity ...
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Comparison of variational balance models for the rotating shallow water equations
... full shallow water equations over a moderate interval of time chosen such that the Eulerian fields experience an order one relative ...full shallow water ...
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FLOODING AND DRYING IN DISCONTINUOUS GALERKIN DISCRETIZATIONS OF SHALLOW WATER EQUATIONS
... web page: http://www.math.utwente.nl/∼ambativr/ Key words: Flooding and Drying, Front Tracking, Discontinuous Galerkin, Finite Ele- ment Methods Abstract. Accurate modeling of flooding and drying is important in ...
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Multiple Solutions for the Riemann Problem in the Porous Shallow Water Equations
... Porous Shallow water Equations [5, 6, 7] has been ...classic Shallow water Equations on a Representative Elementary Volume containing the fluid phase and the obstacles [5, ...
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A unified surface-gradient and hydrostatic reconstruction scheme for the shallow water equations
... the water depth and depth-averaged horizontal velocities and g is the gravitational ...the equations is in divergence form and governs conservation of mass and momentum, and the right hand side is a ...
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Well-balanced computations of weak local residuals for the shallow water equations
... (Received 2 March 2015; revised 30 November 2015) Abstract The one-dimensional shallow water equations describe mass con- servation and momentum conservation. We propose a well-balanced numerical ...
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Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations
... 6. Conclusion We have applied the multiwavelet-based grid adaptivity procedure to shallow water equations. In order to address well-balancing and positivity-preserving we have added some ...
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Modelling rapid mass movements using the shallow water equations in Cartesian coordinates
... nal shallow water equations and in the general formulation of Bouchut and Westdickenberg (2004), the acceleration due to gravity being the driving force depends on the gradient of the fluid surface, ...
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A study of well-balanced finite volume methods and refinement indicators for the shallow water equations
... Abstract This thesis studies solutions to the shallow water equations analytically and nu- merically. The study is separated into three parts. The first part is about well-balanced finite volume ...
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CiteSeerX — ON THE PHYSICAL RELEVANCE OF THE DAM BREAK PROBLEM IN THE CONTEXT OF NONLINEAR SHALLOW WATER EQUATIONS
... nonlinear shallow water equations ...Nonlinear Shallow Water Equations (NSWE) are widely used for flood- ing ...total water depth ...
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On the use of combined compact scheme for numerical solution of the two-layer oceanic shallow water equations
... 3. Ambati, V. R., and Bokhove, O., 2007: Space-time discontinuous galerkin discretization of rotating shallow water equations. J. Comp. Phys., 225, 1233-1261. 4. Anderson Jr., J. D., 1995: ...
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Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography
... • Well-balanced with respect to the lake at rest steady state. To this end, we will design a shock-capturing space-time discontinuous Galerkin (DG) method to approximate the shallow-water equations ...
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A novel entropy stable discontinuous Galerkin spectral element method for the shallow water equations on GPUs
... dimensional shallow water equations, we proceed to address the general two dimensional ...form shallow water equations with metric term splitting include many distinct terms, ...
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New Numerical Algorithm for the Multi-Layer Shallow Water Equations Based on the Hyperbolic Decomposition and the CABARET Scheme
... the equations system for each ...hyperbolic equations with variable density in each ...multilayer shallow water equations is not unconditionally hyperbolic, and in case hyperbolicity is ...
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