Accurate dissipative forces in optimization integrators
| Autor: | George E. Brown, Zahra Forootaninia, Matthew Overby, Rahul Narain |
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| Rok vydání: | 2018 |
| Předmět: |
Imagination
Physics Angular momentum media_common.quotation_subject 020207 software engineering 02 engineering and technology Mechanics Dissipation Computer Graphics and Computer-Aided Design Nonlinear system Range (mathematics) Integrator 0202 electrical engineering electronic engineering information engineering Dissipative system 020201 artificial intelligence & image processing Conservative force ComputingMethodologies_COMPUTERGRAPHICS media_common |
| Zdroj: | ACM Transactions on Graphics. 37:1-14 |
| ISSN: | 1557-7368 0730-0301 |
| DOI: | 10.1145/3272127.3275011 |
| Popis: | We propose a method for accurately simulating dissipative forces in deformable bodies when using optimization-based integrators. We represent such forces using dissipation functions which may be nonlinear in both positions and velocities, enabling us to model a range of dissipative effects including Coulomb friction, Rayleigh damping, and power-law dissipation. We propose a general method for incorporating dissipative forces into optimization-based time integration schemes, which hitherto have been applied almost exclusively to systems with only conservative forces. To improve accuracy and minimize artificial damping, we provide an optimization-based version of the second-order accurate TR-BDF2 integrator. Finally, we present a method for modifying arbitrary dissipation functions to conserve linear and angular momentum, allowing us to eliminate the artificial angular momentum loss caused by Rayleigh damping. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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