Book contents
- Frontmatter
- Contents
- Preface
- 1 Finite Difference Equations
- 2 Spatial Discretization in Wave Number Space
- 3 Time Discretization
- 4 Finite Difference Scheme as Dispersive Waves
- 5 Finite Difference Solution of the Linearized Euler Equations
- 6 Radiation, Outflow, and Wall Boundary Conditions
- 7 The Short Wave Component of Finite Difference Schemes
- 8 Computation of Nonlinear Acoustic Waves
- 9 Advanced Numerical Boundary Treatments
- 10 Time-Domain Impedance Boundary Condition
- 11 Extrapolation and Interpolation
- 12 Multiscales Problems
- Chapter 13 Complex Geometry
- 14 Continuation of a Near-Field Acoustic Solution to the Far Field
- 15 Design of Computational Aeroacoustic Codes
- Appendix A Fourier and Laplace Transforms
- Appendix B The Method of Stationary Phase
- Appendix C The Method of Characteristics
- Appendix D Diffusion Equation
- Appendix E Accelerated Convergence to Steady State
- Appendix F Generation of Broadband Sound Waves with a Prescribed Spectrum by an Energy-Conserving Discretization Method
- Appendix G Sample Computer Programs
- References
- Index
3 - Time Discretization
Published online by Cambridge University Press: 05 October 2012
Book contents
- Frontmatter
- Contents
- Preface
- 1 Finite Difference Equations
- 2 Spatial Discretization in Wave Number Space
- 3 Time Discretization
- 4 Finite Difference Scheme as Dispersive Waves
- 5 Finite Difference Solution of the Linearized Euler Equations
- 6 Radiation, Outflow, and Wall Boundary Conditions
- 7 The Short Wave Component of Finite Difference Schemes
- 8 Computation of Nonlinear Acoustic Waves
- 9 Advanced Numerical Boundary Treatments
- 10 Time-Domain Impedance Boundary Condition
- 11 Extrapolation and Interpolation
- 12 Multiscales Problems
- Chapter 13 Complex Geometry
- 14 Continuation of a Near-Field Acoustic Solution to the Far Field
- 15 Design of Computational Aeroacoustic Codes
- Appendix A Fourier and Laplace Transforms
- Appendix B The Method of Stationary Phase
- Appendix C The Method of Characteristics
- Appendix D Diffusion Equation
- Appendix E Accelerated Convergence to Steady State
- Appendix F Generation of Broadband Sound Waves with a Prescribed Spectrum by an Energy-Conserving Discretization Method
- Appendix G Sample Computer Programs
- References
- Index
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- Computational AeroacousticsA Wave Number Approach, pp. 38 - 44Publisher: Cambridge University PressPrint publication year: 2012