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Roe solver

The Roe approximate Riemann solver, devised by Phil Roe, is an approximate Riemann solver based on the Godunov scheme and involves finding an… 
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List of numerical analysis topicsPhilip L. RoeRiemann problemRiemann solver

Papers overview

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2018
2018
Efficient analytical Roe solver for two-layer shallow-water equations with accurate treatment for loss of hyperbolicity
A new implementation of the Roe scheme (A-Roe) for solving two-layer shallow-water equations is presented in this paper. The… 
2017
2017
The relevance of turbulent mixing in estuarine numerical models for two-layer shallow water flow
The relevance of turbulent mixing in estuarine numerical models for stratified two-layer shallow water flows is analysed in this… 
2012
2012
An Improved Roe solver for the drift-flux two-phase flow model.
The mathematical description of splitting and merging of flows is an important part of a detailed heat exchanger simulation model… 
2011
2011
A roe solver for a multi-class traffic flow model
The dynamics of traffic flow, where drivers are distinguished by distinct velocity classes, can be described using a nonlinear… 
2010
2010
Roe Solver and Entropy Corrector for Hyperbolic Systems with Uncertain Coefficients
Stochastic spectral methods and so-called Chaos expansions provide effective tools for uncertainty quantification (UQ) and… 
2009
2009
Molecular characterization of Euptychiina (Lepidoptera: Satyrinae) from the northern Central Cordillera of the Andes
Euptychiina is considered a taxonomically difficult group given a high diversity of species and morphological homogeneity among… 
2007
2007
Numerical simulation of flow in Hartmann resonance tube and flow in ultrasonic gas atomizer
The gas flow in the Hartmann resonance tube is numerically investigated by the finite volume method based on the Roe solver. The… 
2006
2006
An Ef fi cient High-Resolution Shock-Capturing Scheme for Multi-Dimensional Flows
Many problems at the forefront of theoretical astrophysics require a treatment of dynamical fluid behavior. We present an… 
2006
2006
Holistic MHD-Simulation from the Convection Zone to the Chromosphere
A three-dimensional magnetohydrodynamic simulation of the integral layers from the convection zone to the chromosphere has been… 
Review
2004
Review
2004
Review of numerical special relativistic hydrodynamics
We give an overview of numerical methods for special relativistic hydrodynamics (SRHD). First, a short summary of special… 
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