We propose a numerical method for the simulation of flows from weakly compressible to low Mach regimes in domains with moving boundaries.Non-miscible weakly compressible materials separated by an interface are include...
acknowledges HPC at The University of Southern Mississippi supported by the National Science Foundation under the Major Research Instrumentation(MRI)program via Grant#ACI 1626217.
A local radial basis function method(LRBF)is applied for the solution of boundary value problems in annular domains governed by the Poisson equation,the inhomogeneous biharmonic equation and the inhomogeneous Cauchy-N...
supports by Hunan Provincial Education Department(10C1264),Xiangtan Univ.(10QDZ45),and Hunan NSFC(10JJ70);supported in part by NSFC key project 11031006;supported in part by National Science Council of Taiwan under grant NSC98-2115-M-009-014-MY3 and NCTS.Z.Li was supported in part by the US ARO grant 550694-MA,the AFSOR grant FA9550-09-1-0520,the US NSF grant DMS-0911434,the NIH grant 096195-01,and CNSF11071123.
In this paper,a numerical method is presented for simulating the 3D interfacial flows with insoluble surfactant.The numerical scheme consists of a 3D immersed interface method(IIM)for solving Stokes equations with jum...
supported by National Science Foundation grant DMS-1217315;supported by National Natural Science Foundation of China under the grant 10932011,91230203 and by the funds for creative research group of China(Grant No.11021101);by the support of CAS National Center for Mathematics and Interdisciplinary Sciences;supported by National Natural Science Foundation of China under the grants 11001210 and 11171305 and 91230203.
We introduce a new multigrid method to study the lattice statics model arising from nanoindentation.A constrained Cauchy-Born elasticity model is used as the coarse-grid operator.This method accelerates the relaxation...
supported by the NSF through Grant DMS-0923111,DMS-0914923;an Illinois Institute of Technology post-doctoral traveling allowance.
The evolution of precipitates in stressed solids is modeled by coupling a quasi-steady diffusion equation and a linear elasticity equation with dynamic boundary conditions.The governing equations are solved numericall...
support from NSF grant DMS-0914923;Some computations in thisworkwere performed on computers acquired usingNSF grant(SCREMS)DMS-0923111.
In this paper,we propose a space-time rescaling scheme for computing the long time evolution of multiple precipitates in an elastically stressed medium.The algorithm is second order accurate in time,spectrally accurat...
supported by Louisiana Board of Regents RCS Grant No.LEQSF(2008-11)-RD-A-18;The second author is partially supported by theAROgrants 56349MA MA,the AFSOR grant FA9550-09-1-0520;the NSF grant DMS-0911434,the NIH grant 096195-01 and CNFS 11071123.
Solving elasticity equationswith interfaces is a challenging problemformost existing methods.Nonetheless,it has wide applications in engineering and science.An accurate and efficient method is desired.In this paper,an...
The authors would like to acknowledge the financial supports from the National Science Foundation under the grant number DMR-0710483.
We report an efficient phase field formalism to compute the stress distribution in polycrystalline materials with arbitrary elastic inhomogeneity and anisotropy.The dependence of elastic stiffness tensor on grain orie...
This research is supported in part by NSF-DMS 0712744,NSF DMR-0710483 and NSF-IIP 541674 Center for Computational Materials Design(CCMD).
We investigate the critical nucleus and equilibrium morphologies duringprecipitation of a second-phase particle in a solid. We show that a combination ofdiffuse-interface description and a constrained string method is...
This work has been supported by the National Science Foundation Information Technol-ogy Research Project(NSF-ITR)through Grant DMR-0205232;The work of Qiang Du is also supported by NSF-DMS 0712744.
In recent years,Fourier spectral methods have emerged as competitive numerical methods for large-scale phase field simulations of microstructures in computational materials sciences.To further improve their effectiven...