14.1.1 Co-simulation: overview

The co-simulation technique is a multiphysics capability that provides several functions, available within Abaqus or as separate add-on analysis capabilities, for run-time coupling of Abaqus and another analysis program. An Abaqus analysis can be coupled to another Abaqus analysis or to a third-party analysis program to perform multidisciplinary simulations and multidomain (multimodel) coupling.

Abaqus provides built-in procedures to solve multidisciplinary simulations as described in Multiphysics analyses” in “Procedures: overview, Section 6.1.1. For multidisciplinary problems for which Abaqus does not provide a built-in solution procedure or where the solution procedure is limited in functionality, you can use the co-simulation technique to couple Abaqus with a third-party analysis program; for example, fluid-structure interaction (FSI) simulation in conjunction with computational fluid dynamics (CFD) analysis programs.

Another application area is solving complex problems where the model is divided into multiple domains and different analysis programs are used to obtain solutions for each domain; for example, crash safety simulation performed in conjunction with the occupant simulation program MADYMO.

Another example of this multiple domain analysis approach is with Abaqus/Standard to Abaqus/Explicit co-simulation, where each Abaqus analysis operates on a complementary section of the model domain where it is expected to provide the more computationally efficient solution. For example, Abaqus/Standard provides a more efficient solution for light and stiff components, while Abaqus/Explicit is more efficient for solving complex contact interactions.

Features of the Abaqus co-simulation technique

The Abaqus co-simulation technique:

Interaction between domains modeled with different analysis programs

In a co-simulation the interaction between the domains is through a common physical interface over which data are exchanged in a synchronized manner between Abaqus and the coupled analysis program.

One domain may affect the response of another domain through one or more of the following:

Typical applications include fluid-structure interaction, Abaqus/Standard to Abaqus/Explicit coupling, and vehicle-occupant/pedestrian interaction.

Fluid-structure interaction

Fluid-structure interaction (FSI) covers a very broad scope of problems in which fluid flow and structural deformation interact and affect one another. The interaction can be mechanical, thermal, or both. Examples of FSI applications include hemodynamics in an artery, fluid flow in a pump, airflow over an aircraft wing, heat exchange in a radiator, heat transfer in turbine discs, fluid sloshing in a tank, and hydroplaning of a tire. The use of the co-simulation capability to perform an FSI simulation is illustrated in Closure of an air-filled door seal, Section 2.4.1 of the Abaqus Example Problems Manual.

Figure 14.1.1–1 classifies FSI problems. The complexity of the simulation increases from left to right. At the uppermost level one can distinguish between rigid and flexible structural response problems. Rigid structural response problems are effectively handled by most computational fluid dynamics analysis programs; thus, an Abaqus co-simulation need be employed only for flexible structures.

Figure 14.1.1–1 Fluid-structure interaction.

In some cases the coupling strength (influence coefficient) in one direction may be so small as to be negligible (e.g., mechanical response influence on a fluid for a small-deformation analysis). These cases permit the use of a sequential analysis or a “unidirectional” co-simulation, where loads are passed from one analysis program to another analysis program but not vice versa.

The co-simulation interface allows for both unidirectional (MpCCI only) and bidirectional transfer of data. The structural response may be linear or nonlinear for material and geometric effects. Both steady-state and transient simulations are supported.

For fluid-structure interaction, Abaqus offers two approaches to couple with popular CFD solvers:

  • Coupling through the Mesh-based parallel Code Coupling Interface (MpCCI), a third-party connectivity approach for general multidisciplinary co-simulation.

  • Coupling directly with the AcuSolve general-purpose finite element flow solver.

Coupling through the Mesh-based parallel Code Coupling Interface

The Mesh-based parallel Code Coupling Interface (MpCCI) developed and distributed by the Fraunhofer-Institute for Algorithms and Scientific Computing (SCAI) provides an open system approach for general multidisciplinary simulations between Abaqus and any third-party analysis program that supports MpCCI. MpCCI provides a scalable communication infrastructure and mapping algorithms for multiple physics domains. In a co-simulation using MpCCI, Abaqus communicates in real time with the MpCCI coupling server to exchange solution quantities with the third-party analysis program while each analysis advances its simulation time.

Coupling through MpCCI may occur between Abaqus and any third-party analysis program that supports the MpCCI interface. This includes in-house codes that have the MpCCI adapter embedded. SIMULIA actively supports and qualifies a link between Abaqus and STAR-CD and between Abaqus and FLUENT for fluid-structure interaction. For more information, refer to the Abaqus User's Guide for Fluid-Structure Interaction Using Abaqus and MpCCI.

Coupling Abaqus and AcuSolve

The co-simulation technique allows coupling between Abaqus and AcuSolve, a general-purpose finite element flow solver. Both solvers communicate directly without any third-party communication tool.

The coupling between Abaqus and AcuSolve is actively supported and qualified by both SIMULIA and ACUSIM Software, Inc. For more information, refer to the Abaqus User's Guide for Fluid-Structure Interaction Using Abaqus and AcuSolve.

Interaction between an implicit transient analysis and an explicit dynamics analysis

In certain cases you can realize significant computational cost savings by partitioning a model and combining the Abaqus/Standard and Abaqus/Explicit solutions, such as

  • when the simulation is principally a candidate for Abaqus/Explicit, but where certain parts of the model can be idealized using substructures in Abaqus/Standard, or

  • when the simulation is principally a candidate for Abaqus/Standard, but where complex contact conditions would be handled more effectively by Abaqus/Explicit.

Vehicle-occupant/pedestrian interaction

Crash safety simulation generally includes interaction between a vehicle and its occupant or a vehicle and a pedestrian. Abaqus/Explicit is used to model the vehicle, and MADYMO is used to model the occupant or the pedestrian.

In some cases the influence of the human response on the structural response of the vehicle is so small as to be negligible. In these cases only a part of the vehicle surrounding the human is used in a coupled analysis. The vehicle analysis is performed without the human, and the motion from a portion of the vehicle immediately surrounding the human is extracted as a submodel of the full vehicle response. The co-simulation technique is used to perform a coupled analysis with the human model and the vehicle submodel.

The coupling between Abaqus/Explicit and MADYMO is actively supported and tested by both SIMULIA and TNO MADYMO BV.

Strength of physics coupling

You will typically apply co-simulation techniques to problems where the most complex physics occurs within domains that are handled exclusively within an analysis program (e.g., Abaqus or a CFD analysis program). Due to the comparative numerical simplicity of the numerical techniques applied at the co-simulation interface, the physics controlling the interaction at the interface of the separate analysis domains (the strength of the physics coupling) must be relatively weak for the co-simulation technique to be applied effectively.

Coupling to third-party analysis programs

In a fluid-structure interaction (FSI) co-simulation the analysis domains are coupled in a staggered approach; that is, the equations for each domain are solved separately, and loads and boundary conditions are exchanged at the common interface. In mathematical terms the interaction is through the “right-hand side” only, as depicted in Figure 14.1.1–2, for the example of FSI co-simulation.

Figure 14.1.1–2 Loosely coupled approach.

In an FSI co-simulation the flow equations are solved by the computational fluid dynamics analysis programs, and the structural equilibrium equations and heat transfer equations are solved by Abaqus. Only the loads and boundary conditions at the interface are exchanged during the simulation.

Similarly, in a crash safety simulation with the vehicle modeled in Abaqus/Explicit and the dummy modeled in MADYMO, the interaction of the domains is resolved by application of the forces resulting from the contact condition between the interface of the two domains.

The staggered approach is applicable to many problems that exhibit weak to moderate physics coupling. In cases where the coupling is sufficiently weak, the coupling may be required only in one direction (such as when a temperature field contributes to the structural response, but a reverse coupling provides no significant impact on the simulation results).

The staggered approach may not be effective for problems that exhibit strong physics coupling. In such cases it is best to solve the problem with dedicated analysis programs in which the solutions of all domains are combined into a single system and solved simultaneously (see Figure 14.1.1–3). Such solution approaches have their own numerical challenges and are not suited for general-purpose analysis programs such as Abaqus.

Figure 14.1.1–3 Tightly coupled approach.

Figure 14.1.1–4 illustrates the coupling strength with an analogy in the frequency domain.

Figure 14.1.1–4 Mechanical impedance analogy.

Consider a lumped parameter dynamic system with a coupling impedance directly related to a response frequency . In a staggered solution approach each domain is solved by temporarily ignoring the coupling terms represented by the gray spring and dashpot in Figure 14.1.1–4. When the response frequency and coupling impedance are low, a staggered approach will likely provide adequate solution accuracy and performance. However, when the response frequency is high, such that the coupling impedance is relatively large compared to the structure or fluid, you may encounter solution stability issues with the staggered approach.

Coupling in Abaqus/Standard to Abaqus/Explicit co-simulation

The strength of the physics coupling can generally be greater in the coupling of Abaqus/Standard to Abaqus/Explicit using the co-simulation technique. Through communication of “right-hand-side” and “left-hand-side” terms, Abaqus/Standard to Abaqus/Explicit co-simulation provides a robust interface solution across a wide range of problem parameters. In many cases you can choose to have Abaqus/Standard and Abaqus/Explicit each advance their solutions according to their own automatic time incrementation scheme without adversely affecting the interface solution stability.

Workflow of a co-simulation

Performing a multidisciplinary analysis using the co-simulation technique involves the following steps:

References

For the latest support information and useful tips on running FSI simulations and crash safety simulations, refer to the Answers available in the SIMULIA Online Support System (SOSS), which is accessible through the My Support section of www.simulia.com. The following documents are available in the SIMULIA Online Support System: