Topic
Meshfree methods
About: Meshfree methods is a research topic. Over the lifetime, 2216 publications have been published within this topic receiving 69596 citations.
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08 Apr 2013TL;DR: In this article, the JPL wheel-soil benchmark problem is implemented in the commercial code environment utilizing the large deformation modeling capability of Smooth Particle Hydrodynamics (SPH) meshfree methods.
Abstract: A wheel experiencing sinkage and slippage events poses a high risk to planetary rover missions as evidenced by the mobility challenges endured by the Mars Exploration Rover (MER) project. Current wheel design practice utilizes loads derived from a series of events in the life cycle of the rover which do not include (1) failure metrics related to wheel sinkage and slippage and (2) performance trade-offs based on grouser placement/orientation. Wheel designs are rigorously tested experimentally through a variety of drive scenarios and simulated soil environments; however, a robust simulation capability is still in development due to myriad of complex interaction phenomena that contribute to wheel sinkage and slippage conditions such as soil composition, large deformation soil behavior, wheel geometry, nonlinear contact forces, terrain irregularity, etc. For the purposes of modeling wheel sinkage and slippage at an engineering scale, meshfree nite element approaches enable simulations that capture su cient detail of wheel-soil interaction while remaining computationally feasible. This study implements the JPL wheel-soil benchmark problem in the commercial code environment utilizing the large deformation modeling capability of Smooth Particle Hydrodynamics (SPH) meshfree methods. The nominal, benchmark wheel-soil interaction model that produces numerically stable and physically realistic results is presented and simulations are shown for both wheel traverse and wheel sinkage cases. A sensitivity analysis developing the capability and framework for future ight applications is conducted to illustrate the importance of perturbations to critical material properties and parameters. Implementation of the proposed soil-wheel interaction simulation capability and associated sensitivity framework has the potential to reduce experimentation cost and improve the early stage wheel design proce
1 citations
01 Jan 2007
TL;DR: In this article, two usual methods for constructing the shape functions of meshless methods, smooth particles hydrodynamics (SPH) and moving least square (MLS), were analyzed and compared.
Abstract: Two usual methods for constructing the shape functions of meshless methods,smooth particles hydrodynamics(SPH) and moving least square(MLS),were analyzed and compared.The reason of boundary aberration in SPH was indicated,and the virtual points method which assigned extra points outside the boundary was presented to control the boundary aberration.Allocation method and element-free Galerkin method were used to resolve the one-dimensional and two-dimensional differential equations.Computation results showed that Lagrange multiplier method has better accuracy than point interpolation method in dealing with boundary conditions.Cantilever beam example illustrated the influence of support radius and Gauss integral point on accuracy and cost.The result indicates that single Gauss integral point is affected by the variation of support radius,however higher order Gauss integral points reduce the sensitivity to the variation of support radius and improve the computational accuracy,while the computation cost increases.
1 citations
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01 Jun 2006TL;DR: It has been shown that this meshfree particle method with Lagrangian kernel can provide a stable method and can be used for nanoscale simulations via the implementation of the Cauchy-Born rule.
Abstract: In this paper, a meshfree particle method with the stress point integration scheme is studied. It has been shown that this meshfree particle method with Lagrangian kernel can provide a stable method. A finite element mapping technique is introduced to insert stress points and to calculate volumes associated with particles/stress points so that the triangulation and the Voronoi diagram can be avoided. This meshfree particle method can be used for nanoscale simulations via the implementation of the Cauchy-Born rule. It can also be coupled with molecular dynamics based on the bridging domain coupling technique.
1 citations
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22 Jun 2015TL;DR: This work develops a convergent limiter following ideas for finite volume solvers and extends the present meshless solver to handle moving boundary problems.
Abstract: The conventional CFD solvers depend on a mesh to discretize the domain. Due to the flexible nature of meshless methods, which do not require a mesh, we re-examine several meshless solvers for possible applications to moving boundary problems. Like many meshdependent solvers, second order meshless solvers suffer from convergence problems for transonic and supersonic flows with shock waves. In this work we develop a convergent limiter following ideas for finite volume solvers. The meshless solver is tested with a supersonic flow in a channel and subsonic flow over an airfoil and rigid body, and machine zero convergence is achieved for both the testing cases. We plan to run more benchmark problems, and further extend the present meshless solver to handle moving boundary problems.
1 citations
01 Jun 1999
TL;DR: In this paper, Pietra et al. proposed a new accurate compact finite difference scheme for solving the 2D drift-diffusion system and numerical tests of the scheme are presented.
Abstract: Numerical tests of a new accurate compact finite difference scheme for solving the 2D drift-diffusion system are presented EMAIL:: pietra@dragon.ian.pv.cnr.it
1 citations