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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Computation of phononic crystals using the PG finite element method
PG有限元法 计算 声子晶体
2023/4/17
Phononic crystals are composite materials with periodic distribution of two or more media. The difficulty of computing the band structure of the phononic crystals lies in capturing the complex geometr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A structure-preserving parametric finite element method (PFEM) for geometric PDEs and applications
几何偏微分方程 结构保持 参数有限元
2023/4/17
In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow,surface diffusion flow, Willmore flow, etc., which arise from materials science...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An Unfitted Interface Penalty Partly DG Finite Element Method for Interface Problems
接口问题 未拟合 有限元法 部分DG惩罚 Nitsche方法
2023/4/24
An unfitted interface penalty finite element method is proposed for the interface problems, in which Nitsche's method together with the ideas of merging elements and harmonic weighing fluxes are used,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁 流体动力学模型 无条件能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁流体 动力学模型 能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
A grid-free dilatation element method for quasi-one-dimensional gas dynamics
Compressible flow Gridfree Quasi-one-dimensional flow
2016/5/18
A grid-free scheme for solving quasi-one-dimensional, isentropic, compressible flow in the subsonic regime is developed with a view toward its eventual generalization to three-dimensional turbulent co...
Numerically simulating impact disruptions of cohesive glass bead agglomerates using the soft-sphere discrete element method
Asteroids, Surfaces Collisional physics Geological processes Regoliths
2015/12/25
We present our implementation of cohesion in the parallel N-body code pkdgrav in order to model small bodies that are not fully monolithic but that have at least some degree of cohesion. Small bodies ...
An implementation of the soft-sphere discrete element method in a high-performance parallel gravity tree-code
Bulk solids Solar system DEM Hopper SSDEM
2015/12/25
We present our implementation of the soft-sphere discrete element method (SSDEM) in the parallel gravitational N-body code pkdgrav, a well-tested simulation package that has been used to provide many ...
Numerical simulations of granular dynamics:I. Hard-sphere discrete element method and tests
Asteroids, Surfaces Collisional physics Geological processes Regoliths
2015/12/25
We present a new particle-based (discrete element) numerical method for the simulation of granular dynamics, with application to motions of particles on small solar system body and planetary surfaces....
MIXED FINITE ELEMENT METHOD FOR ELECTROWETTING ON DIELECTRIC WITH CONTACT LINE PINNING
FINITE ELEMENT CONTACT LINE PINNING
2015/12/11
We present a mixed finite element method for a model of the flow in
a Hele-Shaw cell of 2-D fluid droplets surrounded by air driven by surface tension
and actuated by an electric &...
Finite deformation formulation for embedded frictional crack with the extended finite element method
finite deformation frictional crack embedded discontinuity extended finite element
2015/7/1
We reformulate an extended finite element (FE) framework for embedded frictional cracks in elastoplastic solids to accommodate finite deformation, including finite stretching and rotation. For the FE ...
Stabilized low-order finite elements for frictional contact with the extended finite element method
Extended finite element Frictional contact Lagrange multipliers Penalty method Stabilized methods
2015/7/1
Contact problem suffers from a numerical instability similar to that encountered in incompressible elasticity, in which the normal contact pressure exhibits spurious oscillation. This oscillation does...
A contact algorithm for frictional crack propagation with the extended finite element method
contact algorithm frictional crack extended finite element method
2015/7/1
We present an incremental quasi-static contact algorithm for path-dependent frictional crack propagation in the framework of the extended finite element (FE) method. The discrete formulation allows fo...
High-fidelity modeling of a backhoe digging operation using an explicit multibody dynamics finite element code with integrated discrete element method
Multibody dynamic discrete element method backhoe
2015/1/12
In this thesis, a high- fidelity multibody dynamics model of a backhoe for simulating the digging operation is developed using the DIS (Dynamic Interactions Simulator)multibody dynamics software. Sand...
The spectral element method (SEM) on variable-resolution grids: evaluating grid sensitivity and resolution-aware numerical viscosity
spectral element method variable-resolution grids
2014/12/19
We evaluate the performance of the Community Atmosphere Model's (CAM) spectral element method on variable-resolution grids using the shallow-water equations in spherical geometry. We configure the met...