6533b836fe1ef96bd12a09a9
RESEARCH PRODUCT
Conformation constraints for efficient viscoelastic fluid simulation
Ignacio García-fernándezMiguel A. OtaduyHéctor BarreiroIván Alduánsubject
Differential equationComputer scienceConstitutive equationConstraint (computer-aided design)Viscoelasticitat020207 software engineering02 engineering and technologySolverComputer Graphics and Computer-Aided DesignViscoelasticityPhysics::Fluid DynamicsPosition (vector)Inviscid flowSimulació per ordinador0202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processingTensorComputingMethodologies_COMPUTERGRAPHICSdescription
The simulation of high viscoelasticity poses important computational challenges. One is the difficulty to robustly measure strain and its derivatives in a medium without permanent structure. Another is the high stiffness of the governing differential equations. Solutions that tackle these challenges exist, but they are computationally slow. We propose a constraint-based model of viscoelasticity that enables efficient simulation of highly viscous and viscoelastic phenomena. Our model reformulates, in a constraint-based fashion, a constitutive model of viscoelasticity for polymeric fluids, which defines simple governing equations for a conformation tensor. The model can represent a diverse palette of materials, spanning elastoplastic, highly viscous, and inviscid liquid behaviors. In addition, we have designed a constrained dynamics solver that extends the position-based dynamics method to handle efficiently both position-based and velocity-based constraints. We show results that range from interactive simulation of viscoelastic effects to large-scale simulation of high viscosity with competitive performance.
year | journal | country | edition | language |
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2017-11-20 |