The 2D Shallow Water Equations with Bottom Topography . 44
Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography
... Table 2. Relative L 1 errors of the water surface h + b for the two-dimensional lake at rest case. reflections. The rightgoing wave is slowed down in the middle by the bottom to- pography and this then ...
20
Moving boundary shallow water flow above parabolic bottom topography
... nonlinear shallow water wave equations for flow involving linear bottom friction and with no forcing are found for flow above parabolic bottom ...
15
Vortex motion in shallow water with varying bottom topography and zero Froude number
... between topography- driven motion and motion arising from vortex ...sloping bottom can have the effect of bringing vortices of an opposite sign closer together and induce them to move out to deeper ...
24
The shallow water equations
... 7.4 Rarefaction waves 7.4.1 Integral curves In the LWR traffic flow model, we saw that a rarefaction wave consisted of a smoothly varying density. For the shallow water system, both the depth h and the ...
18
Reformulation of 2D DG2 Scheme for Shallow Water Modelling
... two 2D DG2 schemes (2D- RKDG2) are compared in this ...modified 2D RKDG2 scheme is able to produce sufficiently accurate outputs as the general ...still water state simulation over challenging ...
8
Modified method of characteristics for the shallow water equations
... 4.3 Validation test 2 - Unsteady flow within a sloping channel and rough bed The objective of this test is simply to look for the whole channel as a control volume to ensure that there are no significant losses or ...
10
Symmetry Properties and Solutions of Shallow Water Equations
... of shallow water it is investigated a one-parameter family of equations describes the propagation of surface waves above a straight ...the bottom. This family is generated by the ...
14
A Fast and Compact Solver for the Shallow Water Equations
... of water waves which are superimposed on each other, usually using Fast Fourier Transforms [Tes04, HNC02, FR86, Pea86, TB87, ...the water appear choppy instead of ...
7
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 ...
17
A study on correction equations for the effect of seafloor topography on ocean bottom magnetotelluric data
... seafloor topography on ocean bottom magnetotelluric data is needed to estimate a reliable resistivity ...seafloor topography with forward ...correction equations are carried out, and the ...
6
Numerical Study on Change of Bottom Topography Data in a Closed Water Area
... Keywords: Bottom topography, Finite element, Closed water area, Numerical ...of bottom topography in a closed water area are ...Governing equations of flow were reduced to ...
5
2D Shallow Water Model for Dam Break and Column Interactions
... the Shallow Water Equations (SWE) or Saint Venant Equations which are based on the conservation of mass and momentum derived from Navier Stokes ...
10
The shallow water equations: conservation laws and symplectic geometry
... We extend Manin’s construction to the sloping bottom case (nonhomogenous system, 8 0) and show that the solution space of the above mentioned wave equation (from which we obtain explicit[r] ...
6
Imperfect bifurcation for the quasi geostrophic shallow water equations
... The most surprising result is that there is a disconnected branch of solutions, not terminating at either end at the circular Rankine vortex. This was discovered by increasing ε and finding a change in the topology of ...
51
A test case for the inviscid shallow water equations on the sphere
... inviscid equations of motion in an appropriately defined time interval, over which sufficient nonlinearity and small-scale flow features develop, but over which solutions also remain sufficiently regular that a ...
10
the shallow water wave equations with a wet/dry interface
... the shallow wa- ter wave equations are designed to preserve the steady state of a ‘lake at ...stage, water height, and velocity; and stage, bed, and velocity (with modification at wet/dry ...stage, ...
18
A Similarity Technique for Solving Two Layer Shallow Water Equations
... differential equations with the auxiliary conditions reduce to a system of ordinary differential equations with the appropriate auxiliary ...Two-Layer Shallow-Water Equations; Gravity ...
7
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 ...
27
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 ...
14
Multiple Solutions for the Riemann Problem in the Porous Shallow Water Equations
... It is possible to demonstrate [11] that the solution of the dam-break problem, i.e. the particular case of Riemann problem with initial zero velocity, depends on the definition of the geometric- discontinuity ...
9