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Chapter 11
Incompressible Navier-Stokes Solver
11.1
Synopsis
11.1.1
Velocity Correction Scheme
11.1.2
Immersed Boundary Methods: Smoothed Profile Method
11.1.3
Linear Stability Analysis
11.1.4
Steady-state solver using Selective Frequency Damping
11.1.5
Direct solver (coupled approach)
11.2
Usage
11.3
Setting up the Simulation
11.3.1
Expansions and Approximation Spaces
11.3.2
Governing Equation
11.3.3
Solution Algorithms
11.3.4
TimeIntegrationScheme
11.3.5
Stabilisation Techniques
11.3.6
Simulation Parameters
11.3.7
Boundary conditions
11.3.8
Forcing
11.3.9
Filters
11.4
Smoothed Profile Method: Session file configuration
11.5
Session file configuration: Linear stability analysis
11.5.1
Solver Info
11.5.2
Parameters
11.5.3
Functions
11.6
Session file configuration: Steady-state solver
11.6.1
Execution of the classical steady-state solver
11.6.2
Execution of the adaptive steady-state solver
11.7
Session file configuration: Coordinate transformations
11.7.1
Solver Info
11.7.2
Parameters
11.7.3
Mapping
11.7.4
Functions
11.7.5
Boundary conditions
11.8
Session file configuration: Adaptive polynomial order
11.8.1
Solver Info
11.8.2
Parameters
11.8.3
Functions
11.8.4
Restarting the simulation
11.9
Advecting extra passive scalar fields
11.10
Imposing a constant flowrate
11.11
Examples
11.11.1
Kovasznay Flow 2D
11.11.2
Kovasznay Flow 2D using high-order outflow boundary conditions
11.11.3
Laminar Channel Flow 2D
11.11.4
Laminar Channel Flow 3D
11.11.5
Laminar Channel Flow Quasi-3D
11.11.6
2D biglobal/direct stability analysis of the channel flow
11.11.7
2D adjoint stability analysis of the channel flow
11.11.8
2D Transient Growth analysis of a flow past a backward-facing step
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