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Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries
TLDR
This paper shows that equal order and even low order (second) upwind/stabilized techniques can be used to model non-hydrostatic wave propagation over complex bathymetries. Expand
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Stabilized residual distribution for shallow water simulations
TLDR
We propose a stabilized Residual Distribution (RD) scheme for the simulation of shallow water flows. Expand
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Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes
TLDR
We consider the numerical solution of the shallow water equations on unstructured grids and analyze their discrete accuracy and stability properties. Expand
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Explicit Runge-Kutta residual distribution schemes for time dependent problems: Second order case
TLDR
In this paper, we construct spatially consistent explicit second order discretizations for time dependent hyperbolic problems, starting from a given residual distribution (RD) discrete approximation of the steady operator. Expand
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r-adaptation for Shallow Water flows: conservation, well balancedness, efficiency
We investigate the potential of the so-called "relocation" mesh adaptation in terms of resolution and efficiency for the simulation of free surface flows in the near shore region. Our work isExpand
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Contributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows
In this work we review 12 years of developments in the field of residual based discretizations for hyperbolic problems and their application to the solution of the shallow water equations.Expand
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An explicit residual based approach for shallow water flows
  • M. Ricchiuto
  • Mathematics, Computer Science
  • J. Comput. Phys.
  • 2015
TLDR
We describe fully explicit residual based discretizations of the shallow water equations with friction on unstructured grids. Expand
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On the C-property and Generalized C-property of Residual Distribution for the Shallow Water Equations
  • M. Ricchiuto
  • Mathematics, Computer Science
  • J. Sci. Comput.
  • 1 July 2011
TLDR
In this paper we consider the discretization of the Shallow Water equations by means of Residual Distribution schemes. Expand
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A flexible genuinely nonlinear approach for nonlinear wave propagation, breaking and run-up
TLDR
In this paper we evaluate hybrid strategies for the solution of the Green–Naghdi system of equations for the simulation of fully nonlinear and weakly dispersive free surface waves. Expand
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Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
TLDR
We present a systematic generalization of the residual distribution method of [1] to very high order of accuracy, by extending the preliminary work to systems and hybrid meshes. Expand
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