Effective Computational Methods for Wave PropagationNikolaos A. Kampanis, Vassilios Dougalis, John A. Ekaterinaris CRC Press, 2008 M02 25 - 712 pages Due to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable |
Contents
| 7 | |
| 37 | |
Theory and Numerical Analysis of Boussinesq Systems A Review | 63 |
The Helmholtz Equation and Its Paraxial Approximations in Underwater Acoustics | 111 |
Finite Element Discretization of the Helmholtz Equation in an Underwater Acoustic Waveguide | 113 |
Parabolic Equation Techniques in Underwater Acoustics | 135 |
Numerical Solution of the Parabolic Equation in RangeDependent Waveguides | 175 |
Exact Boundary Conditions for Acoustic PE Modeling Over an N2Linear HalfSpace | 209 |
Finite Element Methods with Discontinuous Displacement | 331 |
Fictitious Domains Methods for Wave Diffraction | 359 |
Space Time Mesh Refinement Methods | 385 |
Numerical Methods for Treating Unbounded Media | 425 |
Waves in Compressible Flows | 473 |
HighOrder Accurate Space Discretization Methods for Computational Fluid Dynamics | 475 |
Governing Equations | 485 |
HighOrder FiniteDifference Schemes | 491 |
Other editions - View all
Effective Computational Methods for Wave Propagation Nikolaos A Kampanis,John A. Ekaterinaris,Vassilios Dougalis No preview available - 2019 |
Effective Computational Methods for Wave Propagation Nikolaos A. Kampanis,Vassilios Dougalis,John A. Ekaterinaris No preview available - 2008 |
Common terms and phrases
algorithm analysis applications approximation backpropagation boundary conditions Boussinesq systems centered coefficients compact schemes computational domain Computational Physics conservative convergence defined denote derivative DG method discontinuous Galerkin discrete eigenvalues elastic elastodynamics error Euler equations explicit fictitious domain field FIGURE filters finite difference finite element method finite-difference flow function Galerkin method grid half-space Helmholtz equation high order high-order initial conditions integration interface iterative Lagrange Lagrange multiplier layer LEMMA linear Math matrix mesh mode nodes nonlinear nonlinear Schrödinger equation numerical flux numerical solution obtained order accurate order of accuracy parabolic equation parameter perfectly matched layer points polynomial quadrature formula REMARK satisfies simulation solitary waves solving space spectral stability stencil symmetric tensor theorem tion underwater acoustics variables vector velocity wave equation wave propagation waveguide wavenumber WENO WENO schemes