A Spectral Study on the Dissipation and Dispersion of the WENO Schemes

Keyphrases

• Parameter Sensitivity 100%
• WENO Scheme 100%
• Spectral Studies 100%
• Random Phase 40%
• Spectral Properties 40%
• Smooth Solution 40%
• Fifth-order 40%
• Parameter Adaptive 40%
• Nonlinear Spectral Analysis 40%
• Approximate Dispersion Relation 40%
• Numerical Examples 20%
• Wave number 20%
• Spatial Location 20%
• Adaptation 20%
• Scalar 20%
• Adaptive Technique 20%
• Finite Difference Scheme 20%
• Weighted Essentially Non-oscillatory 20%
• Discontinuous Initial Condition 20%
• Energy Spectrum 20%
• Long-term Simulation 20%
• Stencil 20%
• Large Set 20%
• Nonlinear Weights 20%
• Local Smoothness 20%
• Small Probability 20%
• Advection Problem 20%
• Nonlinear Behavior 20%
• Linear Advection 20%
• Higher Modes 20%
• Scalar Field 20%
• Differentiation Operator 20%
• Linear Scheme 20%
• Low Wavenumber 20%
• Linear Advection Equation 20%

Mathematics

• Approximates 100%
• Spectral Property 100%
• Initial Condition 100%
• Dispersion Relation 100%
• Probability Theory 50%
• Numerical Example 50%
• Finite Difference Method 50%
• Energy Spectra 50%
• Dispersive 50%
• Scalar Field 50%
• Linear Advection Equation 50%

Engineering

• Sensitivity Parameter 100%
• Initial Condition 40%
• Advection 40%
• Dispersion Relation 40%
• Numerical Example 20%
• Oscillatory 20%
• Energy Spectra 20%
• Spatial Location 20%
• Computed Solution 20%
• Scalar Field 20%
• Nonlinear Behavior 20%