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Statements

Subject Item
dbr:Discrete_element_method
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Discrete element method
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A discrete element method (DEM), also called a distinct element method, is any of a family of numerical methods for computing the motion and effect of a large number of small particles. Though DEM is very closely related to molecular dynamics, the method is generally distinguished by its inclusion of rotational degrees-of-freedom as well as stateful contact and often complicated geometries (including polyhedra). With advances in computing power and numerical algorithms for nearest neighbor sorting, it has become possible to numerically simulate millions of particles on a single processor. Today DEM is becoming widely accepted as an effective method of addressing engineering problems in granular and discontinuous materials, especially in granular flows, powder mechanics, and rock mechanics.
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dbc:Numerical_differential_equations
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n11:Cundall_DEM.gif
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dbr:Friction dbr:Plasticity_(physics) dbr:Velocity dbr:Heat_transfer dbr:Roger_Owen_(mathematician) dbr:Quadtree dbr:Galaxy dbr:Coulomb's_law dbr:Numerical_methods_for_ordinary_differential_equations dbc:Numerical_differential_equations dbr:Nenad_Bicanic dbr:Electrostatics dbr:Cohesion_(chemistry) dbr:Van_der_Waals_force dbr:Adhesion dbr:Antonio_Bobet dbr:Generalized_discrete_element_method dbr:Gravity dbr:Quadratic_growth dbr:Molecular_dynamics dbr:Ante_Munjiza dbr:Barnes–Hut_simulation dbr:Fast_multipole_method dbr:Compaction_simulation dbr:Computational_fluid_dynamics dbr:Contact_plasticity dbr:Symplectic_integrator dbr:Peter_A._Cundall dbr:Distinct_element_method dbr:Boundary_value_problem dbr:Newton's_laws_of_motion dbr:Chemical_reaction dbr:Homogenization_(chemistry) dbr:Verlet_integration dbr:Finite_element_method dbr:Continuum_mechanics dbr:Extended_discrete_element_method n15:Cundall_DEM.gif dbr:Meshfree_methods dbr:Elasticity_(physics) dbr:Numerical_analysis dbr:Octree dbr:Liquid_bridging dbr:Electric_charge dbr:Control_flow dbr:Powder_metallurgy dbr:Movable_cellular_automaton dbr:Leapfrog_integration dbr:Fluid dbr:Pauli_exclusion_principle dbr:Solid dbr:Soil_mechanics dbr:Discontinuous_deformation_analysis
dbo:abstract
A discrete element method (DEM), also called a distinct element method, is any of a family of numerical methods for computing the motion and effect of a large number of small particles. Though DEM is very closely related to molecular dynamics, the method is generally distinguished by its inclusion of rotational degrees-of-freedom as well as stateful contact and often complicated geometries (including polyhedra). With advances in computing power and numerical algorithms for nearest neighbor sorting, it has become possible to numerically simulate millions of particles on a single processor. Today DEM is becoming widely accepted as an effective method of addressing engineering problems in granular and discontinuous materials, especially in granular flows, powder mechanics, and rock mechanics. DEM has been extended into the Extended Discrete Element Method taking heat transfer, chemical reaction and coupling to CFD and FEM into account. Discrete element methods are relatively computationally intensive, which limits either the length of a simulation or the number of particles. Several DEM codes, as do molecular dynamics codes, take advantage of parallel processing capabilities (shared or distributed systems) to scale up the number of particles or length of the simulation. An alternative to treating all particles separately is to average the physics across many particles and thereby treat the material as a continuum. In the case of solid-like granular behavior as in soil mechanics, the continuum approach usually treats the material as elastic or elasto-plastic and models it with the finite element method or a mesh free method. In the case of liquid-like or gas-like granular flow, the continuum approach may treat the material as a fluid and use computational fluid dynamics. Drawbacks to homogenization of the granular scale physics, however, are well-documented and should be considered carefully before attempting to use a continuum approach.
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