MpCCI Coupled Simulation
MpCCI Coupled: Theoretical Foundations
Overview
Teacher! Today's topic is about MpCCI coupled simulation, right? What is it?
Code coupling via Fraunhofer SCAI's MpCCI. Combination of heterogeneous solvers. Interface library.
Governing Equations
Wow, the topic of coupled simulation is super interesting! Please tell me more.
Discretization Methods
How do you actually solve these equations on a computer?
We use spatial discretization by the Finite Element Method (FEM). Assemble the element stiffness matrix and construct the global stiffness equation.
Perform transformation to the weak form (variational form) and use formulation by the Galerkin method using test functions and shape functions. The choice of element type (low-order elements vs. higher-order elements, full integration vs. reduced integration) directly affects the trade-off between solution accuracy and computational cost.
Matrix Solution Algorithms
What exactly are matrix solution algorithms?
Solve the system of equations by direct methods (LU decomposition, Cholesky decomposition) or iterative methods (CG method, GMRES method). For large-scale problems, preconditioned iterative methods are effective.
| Solver | Classification | Memory Usage | Applicable Scale |
|---|---|---|---|
| LU decomposition | Direct Method | O(n²) | Small to Medium Scale |
| Cholesky decomposition | Direct Method (Symmetric Positive Definite) | O(n²) | Small to Medium Scale |
| PCG Method | Iterative Method | O(n) | Large Scale |
| GMRES method | Iterative Method | O(n·m) | Large Scale / Non-symmetric |
| AMG Preconditioner | Preprocessing | O(n) | Very Large Scale |
So if you cut corners in the finite element method part, you'll pay for it later. I'll keep that in mind!
Implementation in Commercial Tools
So, what software can be used to do MpCCI coupled simulation?
| Tool Name | Developer/Current | Main File Formats |
|---|---|---|
| COMSOL Multiphysics | COMSOL AB | .mph |
| Ansys Mechanical (formerly ANSYS Structural) | Ansys Inc. | .cdb, .rst, .db, .ans, .mac |
| Abaqus FEA (SIMULIA) | Dassault Systèmes SIMULIA | .inp, .odb, .cae, .sta, .msg |
| Simcenter STAR-CCM+ | Siemens Digital Industries Software | .sim, .java, .csv |
Vendor Lineage and Product Integration History
Do the origins of each software have some dramatic stories?
COMSOL Multiphysics
Tell me about "COMSOL Multiphysics"!
Founded in Sweden in 1986. Started as FEMLAB with MATLAB integration, later renamed to COMSOL. Strong in multiphysics.
Current Affiliation: COMSOL AB
Ansys Mechanical (formerly ANSYS Structural)
Tell me about "Ansys Mechanical"!
Developed in 1970 by Swanson Analysis Systems Inc. (SASI). APDL (Ansys Parametric Design Language) based.
Current Affiliation: Ansys Inc.
Abaqus FEA (SIMULIA)
What exactly is Abaqus FEA?
Developed in 1978 by HKS (Hibbitt, Karlsson & Sorensen). Acquired by Dassault Systèmes in 2005 and integrated into the SIMULIA brand.
Current Affiliation: Dassault Systèmes SIMULIA
Ah, I see! So that's how it was established in Sweden that year.
File Formats and Interoperability
Are there any points to note when transferring data between different software?
| Format | Extension | Type | Overview |
|---|---|---|---|
| STEP | .stp/.step | Neutral CAD | 3D CAD data exchange format compliant with ISO 10303. Supports geometry + PMI. |
| IGES | .igs/.iges | Neutral CAD | Early CAD data exchange standard. Has issues with surface data compatibility. Transition to STEP is progressing. |
| VTK | .vtk/.vtu | Visualization | Visualization Toolkit format. Used by ParaView, etc. |
| MED | .med | Mesh/Analysis | Data exchange format used by Code_Aster and Salome. Suitable for multiphysics coupling scenarios. |