Evaluation and modification of time splitting method applied to the fully dynamic numerical solution of water wave propagation

2015 ◽  
Vol 15 (4) ◽  
pp. 228 ◽  
Author(s):  
Ali Shirkavand ◽  
Peyman Badiei
Keyword(s):  
Wave Propagation ◽  
Numerical Solution ◽  
Water Wave ◽  
Splitting Method ◽  
Time Splitting

scholarly journals Numerical solution of the brusselator model by time splitting method

2021 ◽  
Vol 42 (1) ◽  
pp. 75-87
Author(s):  
Sıla Övgü KORKUT UYSAL ◽  
Yeşim ÇİÇEK
Keyword(s):  
Numerical Solution ◽  
Splitting Method ◽  
Brusselator Model ◽  
Time Splitting

scholarly journals A coupled finite and boundary spectral element method for linear water-wave propagation problems

2017 ◽  
Vol 48 ◽  
pp. 1-20 ◽  
Author(s):  
Antonio Cerrato ◽  
Luis Rodríguez-Tembleque ◽  
José A. González ◽  
M.H. Ferri Aliabadi
Keyword(s):  
Wave Propagation ◽  
Water Wave ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Element Method

Convergence of time-splitting approximations for degenerate convection-diffusion equations with a random source

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Roberto Díaz-Adame ◽  
Silvia Jerez
Keyword(s):  
Hyperbolic Conservation Laws ◽  
Splitting Method ◽  
Diffusion Equations ◽  
Hyperbolic Conservation ◽  
Convection Diffusion ◽  
Parabolic Case ◽  
Weak Entropy Solution ◽  
Degenerate Parabolic ◽  
Time Splitting ◽  
Operator Scheme

AbstractIn this paper we propose a time-splitting method for degenerate convection-diffusion equations perturbed stochastically by white noise. This work generalizes previous results on splitting operator techniques for stochastic hyperbolic conservation laws for the degenerate parabolic case. The convergence in $\begin{array}{} \displaystyle L^p_{loc} \end{array}$ of the time-splitting operator scheme to the unique weak entropy solution is proven. Moreover, we analyze the performance of the splitting approximation by computing its convergence rate and showing numerical simulations for some benchmark examples, including a fluid flow application in porous media.

Boundary conditions for the numerical solution of wave propagation problems

Geophysics ◽  
1978 ◽  
Vol 43 (6) ◽  
pp. 1099-1110 ◽  
Author(s):  
Albert C. Reynolds
Keyword(s):  
Wave Propagation ◽  
Reflection Coefficient ◽  
Finite Difference ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Neumann Boundary ◽  
Synthetic Seismograms ◽  
Neumann Boundary Conditions ◽  
Numerical Calculations ◽  
Reflection Coefficients

Many finite difference models in use for generating synthetic seismograms produce unwanted reflections from the edges of the model due to the use of Dirichlet or Neumann boundary conditions. In this paper we develop boundary conditions which greatly reduce this edge reflection. A reflection coefficient analysis is given which indicates that, for the specified boundary conditions, smaller reflection coefficients than those obtained for Dirichlet or Neumann boundary conditions are obtained. Numerical calculations support this conclusion.

A Numerical Study of Quantum Decoherence

2012 ◽  
Vol 12 (1) ◽  
pp. 85-108 ◽  
Author(s):  
Riccardo Adami ◽  
Claudia Negulescu
Keyword(s):  
Density Matrix ◽  
Particle Density ◽  
Numerical Study ◽  
Heavy Particle ◽  
Splitting Method ◽  
Time Dependent ◽  
Quantum Decoherence ◽  
Approximation Formula ◽  
Time Splitting ◽  
Decoherence Effect

AbstractThe present paper provides a numerical investigation of the decoherence effect induced on a quantum heavy particle by the scattering with a light one. The time dependent two-particle Schrödinger equation is solved by means of a time-splitting method. The damping undergone by the non-diagonal terms of the heavy particle density matrix is estimated numerically as well as the error in the Joos-Zeh approximation formula.

Numerical Study on Coastal Wave and Near-Shore Current Interaction

2014 ◽  
Author(s):  
Jun Tang ◽  
Yongming Shen ◽  
Yigang Lv
Keyword(s):  
Wave Propagation ◽  
Numerical Model ◽  
Water Wave ◽  
Wave Radiation ◽  
Radiation Stress ◽  
Propagation Angle ◽  
Mild Slope Equation ◽  
Near Shore ◽  
Wave Induced ◽  
Wave Radiation Stress

Coastal waves and near-shore currents have been investigated by many researchers. This paper developed a two-dimensional numerical model of near-shore waves and currents to study breaking wave induced current. In the model, near-shore water wave was simulated by a parabolic mild slope equation incorporating current effect and wave energy dissipation due to breaking, and current was simulated by a nonlinear shallow water equation incorporating wave exerted radiation stress. Wave radiation stress was calculated based on complex wave amplitude in the parabolic mild slope equation, and this result in an effective method for calculating wave radiation stress using an intrinsic wave propagation angle that differs from the ones of using explicit wave propagation angle. Wave and current interactions were considered by cycling the wave and current equation to a steady state. The model was used to study waves and wave-induced longshore currents at the Obaköy coastal water which is located at the Mediterranean coast of Turkey. The numerical results for water wave induced longshore current were validated by measured data to demonstrate the efficiency of the numerical model, and water waves and longshore currents were analyzed based on the numerical results.

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