Parallel pseudo-transient Newton-Krylov-Schwarz continuation algorithms for bifurcation analysis of incompressible sudden expansion flows

Keyphrases

• Bifurcation Analysis 100%
• Newton-Krylov-Schwarz 100%
• Sudden Expansion Flow 100%
• Stationary Solution 100%
• Continuation Algorithm 100%
• System of Ordinary Differential Equations 100%
• Pseudo-transitions 100%
• Method of Lines 50%
• Newton-Krylov-Schwarz Algorithm 50%
• Numerical Results 50%
• Published Results 50%
• Large Time Steps 50%
• Stabilization Term 50%
• Least-squares Finite Element Method 50%
• Parallel Machines 50%
• Nonlinear System of Equations 50%
• Large Sparse Nonlinear System 50%
• Galerkin Least Squares 50%
• Time Response 50%
• Unconditionally Stable 50%
• Unstructured Mesh 50%
• Expansion Ratio 50%
• Bifurcation Point 50%
• Bifurcation Forecasting 50%
• Symmetry-breaking Bifurcation 50%
• Imperfect pitchfork Bifurcation 50%
• Stable Time 50%
• Time Integrator 50%
• Pseudo-transient Continuation 50%
• Timing Accuracy 50%
• Backward Euler Method 50%
• Time Marching 50%

Mathematics

• Time Step 100%
• Stationary Solution 100%
• System Of Ordinary Differential Equations 100%
• Finite Element Method 50%
• Asymmetric 50%
• Symmetry Breaking 50%
• Least Square 50%
• Nonlinear Systems Of Equations 50%
• Time Step Size 50%
• Euler Method 50%
• Points of Symmetry 50%
• Classical Approach 50%
• Adaptability 50%
• Bifurcation Point 50%

Engineering

• Transients 100%
• Bifurcation Analysis 100%
• Expansion Flow 100%
• Least Square 50%
• Step Size α 50%
• Critical Point 50%
• Adaptability 50%
• Expansion Ratio 50%
• Bifurcation Point 50%
• Euler Backward Method 50%
• Finite Element Analysis 50%
• Equation System 50%
• Nonlinear System 50%