Explicit and Implicit Coupling Strategies for Overset Grids. Jörg Brunswig, Manuel Manzke, Thomas Rung
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1 Explicit and Implicit Coupling Strategies for s
2 Outline FreSCo+ Grid Coupling Interpolation Schemes Implementation Mass Conservation Examples Lid-driven Cavity Flow Cylinder in a Channel Oscillating Cylinder Conclusion / Outlook
3 FreSCo+ Spin-off of FreSCo (TUHH, HSVA, MARIN) Segregated Algorithm 2 nd Order (Space/Time) Pressure Correction: SIMPLE Unstructured Grids Various Turbulence Models Interface Capturing Methode (VoF) for two-phase flows Parallel Environment: MPI Load Balancing using ParMetis
4 Grid Coupling All grids organized in single equation system Grid coupling by interpolation schemes: Cell Center Cell Center + Gradient Correction Simplex Mesh (bilinear / trilinear interpolation) Inverse Distance Coupling can be implicit or explicit
5 Grid Coupling: Interpolation Equation
6 Grid Coupling: Interpolation Equation
7 Grid Coupling: Interpolation Equation
8 Grid Coupling: Interpolation Equation
9 Grid Coupling: Interpolation Equation Main Diagonal Right Hand Side
10 Grid Coupling: Interpolation Equation Explicit Coupling Main Diagonal Right Hand Side
11 Grid Coupling: Interpolation Equation Implicit Coupling Main Diagonal Right Hand Side Off-Diagonal Elements
12 Grid Coupling: Cell Center
13 Grid Coupling: Cell Center Very simple scheme Fully implicit interpolation possible Result is bounded Not very accurate
14 Grid Coupling: Cell Center + Gradient Correction Very simple scheme Explicit part always present Result is not bounded Gradients required Improved accuracy
15 Grid Coupling: Simplex Mesh
16 Grid Coupling: Simplex Mesh
17 Grid Coupling: Simplex Mesh
18 Grid Coupling: Simplex Mesh
19 Grid Coupling: Simplex Mesh
20 Grid Coupling: Simplex Mesh Overhead for simplex mesh construction Algorithmic difficulties for 'real life' meshes (e.g. bound. layers) Fully implicit interpolation possible Result is bounded Improved accuracy 2D: 3D:
21 Grid Coupling: Inverse Distance Simple scheme Fully implicit interpolation possible Result is bounded Weighting function contains free parameter Not very accurate
22 Grid Coupling: Mass Conservation Background Mesh Foreground Mesh Mass flow through faces between solved cells (blue) and interpolated cells (red) must sum up to zero! Apply bulk correction if necessary.
23 Examples: Lid-Driven Cavity Flow, Setup L=1m Re=100
24 Examples: Lid-Driven Cavity Flow, Grid Background: 32x32 Cells Foreground: 16x16 Cells
25 Examples: Lid-Driven Cavity Flow, Cell Status Ignore Interpolate Donate Solve
26 Examples: Lid-Driven Cavity Flow, Cell Status Ignore Interpolate Donate Solve
27 Examples: Lid-Driven Cavity Flow, Horizontal Velocity
28 Examples: Lid-Driven Cavity Flow, Horizontal Velocity
29 Examples: Lid-Driven Cavity Flow, Horizontal Velocity
30 Examples: Lid-Driven Cavity Flow, Horizontal Velocity
31 Examples: Lid-Driven Cavity Flow, Horizontal Velocity
32 Examples: Lid-Driven Cavity Flow, Convergence
33 Examples: Lid-Driven Cavity Flow, Convergence
34 Examples: Lid-Driven Cavity Flow, Convergence
35 Examples: Lid-Driven Cavity Flow, Performance
36 Examples: Lid-Driven Cavity Flow, Performance
37 Examples: Lid-Driven Cavity Flow, Mass Conservation
38 Examples: Lid-Driven Cavity Flow, Mass Conservation
39 Examples: Lid-Driven Cavity Flow, Mass Conservation
40 Examples: Cylinder in Channel, Setup D=0.1m U mean =0.2m/s Rn=20
41 Examples: Cylinder in Channel, Setup Single Grid 4544 Overlapping Grids 4960 Number of Cells
42 Examples: Cylinder in Channel, Cell Status Ignore Interpolate Donate Solve
43 Examples: Cylinder in Channel, Horizontal Velocity
44 Examples: Cylinder in Channel, Horizontal Velocity
45 Examples: Cylinder in Channel, Horizontal Velocity
46 Examples: Cylinder in Channel, Horizontal Velocity
47 Examples: Cylinder in Channel, Horizontal Velocity
48 Examples: Cylinder in Channel, Vertical Velocity
49 Examples: Cylinder in Channel, Pressure
50 Examples: Cylinder in Channel, Residuals
51 Examples: Cylinder in Channel, Performance
52 Examples: Cylinder in Channel, Mass Conservation
53 Examples: Oscillating Cylinder
54 Conclusions Four different interpolation schemes implemented Implicit and explicit grid coupling All methods stable and accurate Implicit methods faster convergence better mass conservation enhanced effiency for complex flows (multibody, transient)
55 Outlook Extend algorithm to parallel simulations Evaluate robustness of interpolation methods for 'real-life' meshes background vs. foreground resolution aspect ratios Extension to >2 grid layers Void-space detection
56 Thank you for your attention!
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