Multi-species simulation of porous sand and water mixtures
| Autor: | Andre Pradhana Tampubolon, Gergely Klár, Chenfanfu Jiang, Theodore F. Gast, Joseph Teran, Ken Museth, Chuyuan Fu |
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| Rok vydání: | 2017 |
| Předmět: |
Constitutive equation
0211 other engineering and technologies 020207 software engineering 02 engineering and technology Mechanics Plasticity Computer Graphics and Computer-Aided Design Compressible flow Mixture theory Classical mechanics 0202 electrical engineering electronic engineering information engineering Cohesion (geology) Porous medium Conservation of mass Material point method Geology 021101 geological & geomatics engineering |
| Zdroj: | ACM Transactions on Graphics. 36:1-11 |
| ISSN: | 1557-7368 0730-0301 |
| Popis: | We present a multi-species model for the simulation of gravity driven landslides and debris flows with porous sand and water interactions. We use continuum mixture theory to describe individual phases where each species individually obeys conservation of mass and momentum and they are coupled through a momentum exchange term. Water is modeled as a weakly compressible fluid and sand is modeled with an elastoplastic law whose cohesion varies with water saturation. We use a two-grid Material Point Method to discretize the governing equations. The momentum exchange term in the mixture theory is relatively stiff and we use semi-implicit time stepping to avoid associated small time steps. Our semi-implicit treatment is explicit in plasticity and preserves symmetry of force linearizations. We develop a novel regularization of the elastic part of the sand constitutive model that better mimics plasticity during the implicit solve to prevent numerical cohesion artifacts that would otherwise have occurred. Lastly, we develop an improved return mapping for sand plasticity that prevents volume gain artifacts in the traditional Drucker-Prager model. |
| Databáze: | OpenAIRE |
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