A stabilized mixed finite element method for the incompressible shear-rate dependent non-Newtonian fluids: Variational Multiscale framework and consistent linearization

Keyphrases

• Shear Rate 100%
• Rate Dependence 100%
• Multi-scale Framework 100%
• Variational multiscale Method 100%
• Consistent Linearization 100%
• Non-Newtonian Fluid 100%
• Stabilized Mixed Finite Element 100%
• Two-level 50%
• Shear Thinning 50%
• Analytical Expression 50%
• Viscosity 50%
• Flow Characteristics 50%
• Velocity Field 50%
• Trial Function 50%
• Shear Stress 50%
• Shear Strain 50%
• Level Description 50%
• Stability Properties 50%
• Weak Form 50%
• Geometric Parameters 50%
• Bilinear 50%
• Incompressible Fluid 50%
• Backward-facing Step 50%
• Scale Problem 50%
• Test Functions 50%
• Vortex Shedding 50%
• Numerical Convergence 50%
• Unstructured Mesh 50%
• Structured Mesh 50%
• Shear Thickening Behavior 50%
• Second Invariant 50%
• Consistent Tangent 50%
• Time Features 50%
• Transient Vortex 50%
• Generalized Navier-Stokes Equations 50%
• Bubble Functions 50%
• Rate of Deformation Tensor 50%

Engineering

• Multiscale 100%
• Shear Rate 100%
• Fine Scale 100%
• Finite Element Analysis 100%
• Newtonian Fluid 100%
• Transients 25%
• Fluid Viscosity 25%
• Shear Thinning 25%
• Flow Characteristics 25%
• Velocity Field 25%
• Shear Strain 25%
• Geometric Parameter 25%
• Incompressible Fluid 25%
• Facing Step 25%
• Scale Problem 25%
• Scale Test 25%
• Vortex Shedding 25%
• Shear Thickening 25%
• Deformation Tensor 25%
• Linear Triangle 25%
• Strain Relation 25%
• Scale Trial 25%
• Navier-Stokes Equation 25%

Mathematics

• Tensor 100%
• Newtonian Fluid 100%
• Mixed Finite Element Method 100%
• Triangle 33%
• Scale Problem 33%
• test function φ 33%
• Weak Form 33%
• Navier-Stokes Equation 33%
• Velocity Distribution 33%