shallow-water equations
New Numerical Algorithm for the Multi-Layer Shallow Water Equations Based on the Hyperbolic Decomposition and the CABARET Scheme
... 27. Goloviznin, V.M., Solovjov, A.V. and Zalesny, V.B., 2018. A New Algorithm for Solving the Shallow Water Equations on the Sphere Based on the Cabaret Scheme. Journal of Physics: Conference Series, ...
19
Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations
... 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 modifications to the ...
30
Rate of convergence from the rotating Euler and shallow water equations to the rotating lake equations
... in (.). This paper is devoted to the rigorous justification of the convergence of the above low Froude number limit for smooth solution of the inviscid rotating Euler and shallow water equations in ...
9
A Similarity Technique for Solving Two Layer Shallow Water Equations
... analysis of differential equations [12,13]. The main pur- pose of this paper is to find similarity solutions of two- layer shallow-water equations representing gravity cur- rents by using the ...
7
Multiple Solutions for the Riemann Problem in the Porous Shallow Water Equations
... The Shallow water Equations are widely used to study urban flooding ...differential equations are non-linear, and admit the existence of discontinuities (moving bores, standing hydraulic ...
9
Modelling rapid mass movements using the shallow water equations in Cartesian coordinates
... The Voellmy rheology (Voellmy, 1955) is frequently used to describe debris flows and dense snow avalanches and is implemented in proprietary software products such as RAMMS (Christen et al., 2010), SAMOS-AT (Sampl and ...
15
Symmetry Properties and Solutions of Shallow Water Equations
... The use of formulae (2) relative to infinite aggregate of exact solutions of the system (3) generates infinite aggregate of exact solutions of the system (1) of the shallow water equations describing ...
14
Modified method of characteristics for the shallow water equations
... the shallow water equations (SWEs) with an up- winded scheme often used for the nonlinear terms in the numerical scheme (Delis et ...the shallow water equations within the ...
10
A test case for the inviscid shallow water equations on the sphere
... inviscid shallow water equations, which will be of potential use in the validation of the horizontal discretization component of new numerical schemes or ...inviscid shallow-water ...
10
A high-order conservative collocation scheme and its application to global shallow-water equations
... the water depth, which is exactly the same in two ad- jacent coordinate systems, since the water depth is a scalar independent of the coordinate system and the basis vector perpendicular to the edge is ...
13
A study of well-balanced finite volume methods and refinement indicators for the shallow water equations
... • S. Mungkasi and S. G. Roberts, 2010, ”On the best quantity reconstructions for a well balanced finite volume method used to solve the shallow water wave equations with a wet/dry interface”, ANZIAM ...
19
The shallow water equations: conservation laws and symplectic geometry
... between conservation laws, nonsimple wave solutions and Bcklund transformations of both the homogenous and nonhomogenous systems... Perhaps we ought to call 3.2 the.[r] ...
6
Safety Analysis against Tsunami Attacks at Ulchin Nuclear Power Plant Site
... the shallow-water theory is employed to analyze the safety of the Ulchin Nuclear Power Plant site against three historical and eleven virtual tsunami ...Boussinesq equations in the propagation ...
6
Mathematical modeling for tsunami waves using lattice boltzmann method
... governing equations approximated by a numerical method will ideally model all of the ...governing equations: elastic wave equation, nonlinear shallow water equations and fKdV equation ...
48
Search | Preprints
... The main goal of the present manuscript consists in introducing to tsunami modelling community some state-of-the-art numerical methods for solving nonlinear hyperbolic equa- tions, which allow to use the available ...
44
Adaptive wavelet simulation of global ocean dynamics using a new Brinkman volume penalization
... the shallow water equations are reviewed in ...porous shallow water equations in ...one-dimensional equations in ...the shallow water equations works ...
19
A step toward transparent boundary conditions for meteorological models
... In this section the phrase 'experimentally well-posed' will be used to describe a discretization of the linearized shallow water equations which produced forecasts which had no visible t[r] ...
24
Mitigation of flash floods in arid regions using adjoint sensitivity analysis
... nonlinear Shallow Water Equations (SWEs) used to simulate the propagation of the flood wave, and an adjoint model used to evaluate the time-dependent sensitivities with respect to a variety of ...
16
Multi-GPU Implementation of 2D Shallow Water Equation Code with Block Uniform Quad-Tree Grids
... 2D shallow water equations solver which is able to exploit the computational power of modern HPC clusters equipped with several GPUs on different ...
7
Numerical Solution of the Rotating Shallow Water Flows with Topography Using the Fractional Steps Method
... Shallow water equations form a set of hyperbolic partial differential equations that describe the flow below the pressure surface in the fluid, sometimes, but not neces- sarily, a free ...The ...
14