The 3d immersed molecular electrokinetic finite element method imefem will be presented for the modeling of micro fluidic electrokinetic assembly of nano wires and filaments and biomolecules. An immersed finite element method for elliptic interface problems with multidomain and triple junction points yuan chen1, songming hou2 and xu zhang3, 1 department of environmental science, hohai university, nanjing 210098, jiangsu, china 2 department of mathematics and statistics, louisiana tech university, ruston. Request pdf immersed finite element method for fluidstructure interactions in this paper, we present a detailed derivation of the numerical method, immersed. In this paper, we choose the linear immersed nite element space as the trial space of nite volume fv method. Numerical simulation of surface acoustic wave actuated. Corotational cut finite element method for realtime surgical simulation. An immersed finite element method based on a locally. A 3d immersed finite element method with nonhomogeneous interface flux jump for applications in particleincell simulations of plasmalunar surface interactions.
Nanoscale sensor analysis using the immersed molecular. Immersed electrokinetic finite element method liu 2007. Cut finite element method, unfitted fem, corotational cutfem, needle. Boundary value problems are also called field problems. We present a unified framework for developing and analyzing immersed finiteelement ife spaces for solving typical elliptic interface problems with we use cookies to enhance your experience on our website. Its key features are the implicit representation of domain boundaries and interfaces, the use of nitsches method for the incorporation of boundary conditions, accurate numerical integration based on marching tetrahedrons and cutelement. Introduction to finite element analysis fea or finite. Wei, multiscale molecular dynamics using the matched. Basedon the ife method, the immersedfiniteelement particleincell ifepic method 37,39,40,54,55 has been developed to provide a promising approach for plasma simulations and applied to di. The proposed immersed molecular electrokinetic finite element method couples electrokinetics with fluctuating hydrodynamics to study the motion and deformation of. Asme 2010 first global congress on nanoengineering for medicine and biology. Implementation of immersed finite element method for fluid. The 3d isfem is able to determine accurately the physical deformation of the nonlinear solids placed within the incompressible viscous fluid governed by navierstokes.
Preliminary results for selective deposition of viruses and stretching of a dna molecule are. An unstructured immersed finite element method for. Design and optimization of a nanotip sensor via immersed molecular electrokinetic finite element method. Sheldon wang2 and others 1 department of mechanical engineering northwestern university evanston, il 60208 2 department of mathematical sciences new jersey institute of technology. A nonconforming immersed finite element method for elliptic. An element not allowed in a standard fe method is illustrated by the plot on the. The immersed molecular finite element method, computer methods in applied mechanics and. The framework incorporates brownian motion dynamics, a molecular phenomenon predominantly present at the nanoscale, into the previously developed immersed finite element method, thus referred to as the immersed molecular finite element method. A fully coupled immersed finite element method for fluid. Immersed finite element method, reproducing kernel particle. There are two classes of methods which belong to this type. An immersed finite element method with integral equation.
It extends the classical finite element method by enriching the solution space for solutions to differential equations with discontinuous functions. In recent years, the immersed finite element methods ifem introduced in \citeli2003, \citeli2004 to solve elliptic problems having an interface in the domain due to the discontinuity of coefficients are getting more attentions of researchers because of. Sheldon wang 2 and others 1 department of mechanical engineering northwestern university evanston, il 60208 2 department of mathematical sciences new jersey institute of technology newark, nj 07102. Department of mechanical engineering, northwestern university, 2145 sheridan road, evanston, il 60208. For the numerical methods based on finite difference formulation. The next two scales are the subcellular and molecular scales. Proceedings of the asme 2010 first global congress on nanoengineering for medicine and biology. The immersed molecular electrokinetic finite element method imefem framework used in our study is an extension of our previous verified and validated. Immersedinterface finiteelement methods for elliptic. A consistent immersed finite element method for the. We present the implementation of a solution scheme for fluidstructure interaction problems via the finite element software library deal.
The particleincell pic method is one of the major particle models for plasma simulation, which utilizes a huge number of simulation particles and hence. Immersed finite element method and its applications to. Hughes in solving fluidstructure interaction problems. Theory, implementation, and practice november 9, 2010 springer. A threedimensional immersed smoothed finite element method 3d isfem using fournode tetrahedral element is proposed to solve 3d fluidstructure interaction fsi problems. An example of methods using local enrichments are the socalled extended finite element method xfem see 1. The 3d immersed molecular electrokinetic finite element method imefem will be presented for the modeling of micro fluidic electrokinetic assembly of nanowires, filaments and biomolecules. A novel method called immersed smoothed fem using three. The solution scheme is an immersed finite element method in which two independent discretizations are used for the fluid and immersed deformable body. The finite element method fem, or finite element analysis fea, is a computational technique used to obtain approximate solutions of boundary value problems in engineering. Request pdf immersed molecular electrokinetic finite element method for nanodevices in biotechnology and gene delivery it has been demonstrated from recent research that modern uses of. An immersed finite element method for elliptic interface. Interface problems, immersed finite elements, algebraic multigrid method.
A possible solution consists in enriching the finite element basis on the elements that are crossed by the immersed boundary, such that the irregularity of the solution is taken into account. We present an immersed finite element technique for boundaryvalue and interface problems from nonlinear solid mechanics. Therefore, it is suitable for moving interface problems. This paper summarizes the newly developed immersed finite element method ifem and its applications to the modeling of biological systems. The immersed molecular finite element method, computer. Computer methods in applied mechanics and engineering, vol. Kafafy abstract a new particleincell algorithm was developed for plasma simulations involving complex boundary conditions.
Immersed molecular electrokinetic finite element method. As for the ibm, it is the rst order accurate method and smears the solution near the interface. In this paper, the immersed finite element method ifem is proposed for the solution of complex fluid and deformable structure interaction problems encountered in many physical models. Immersed finite element method northwestern scholars. Immersedinterface finiteelement methods 475 triangular immersedinterface. Daryl logan, a first course in finite element method, thomson, india edition. A three dimensional immersed smoothed finite element. Immersed finite element method for interface problems with. The immersed molecular finite element method imfem is adopted to simulate the whole blood including blood plasma, red blood cells and nanoparticles. In computational fluid dynamics, the immersed boundary method originally referred to an approach developed by charles peskin in 1972 to simulate fluidstructure fiber interactions.
Pdf the finite element immersed boundary method researchgate. An immersedfiniteelement particleincell simulation. The framework integrates the concept of immersed boundary 35, 36, 29, finite element 37, 38, 39 and meshfree methods 40, 41. The immersed molecular finite element method request pdf. An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions slimane adjerid ivo babuska y ruchi guo z tao lin x abstract this article presents and analyzes a pthdegree immersed nite element ife method for elliptic interface problems with nonhomogeneous jump conditions. A novel immersedfiniteelement particleincell ifepic simulation tool is presented in this paper for plasma surface interaction where charged plasma particles are represented by a number of simulation particles. Computational modelling of graphite exfoliation in shear. Ifem is defined as immersed finite element method very rarely. Three dimensional membrane interacting with navierstokes fluid obtained using the deal. Immersed finite element particleincell simulations of. Pdf fluidstructure interaction combines two of the most interesting. The field is the domain of interest and most often represents a physical structure. The immersed molecular finite element method sciencedirect.
Immersed finite element method and its applications to biological systems wing kam liu 1, yaling liu, david farrell, lucy zhang1, x. One is the extended finite element method xfem and the other is the immersed finite element method ifem. In this paper, the immersed finite element method, was used as a framework to develop the immersed molecular finite element method imfem in order to model brownian motion phenomena. A novel procedure, immersed smoothed finite element method immersed sfem is proposed for solving fluidstructure interaction fsi problems with. Immersed finite element method for fluidstructure interactions. However, our framework described here can be used for high order immersedinterface. An immersed boundary algorithm is exploited known as the immersed finite element method ifem which accurately determines the internal forces in the solid domain. Department of engineering, university of cambridge, uk summary we propose a robust immersed. Taylor, the finite element method, vols 1 and 2, butterworth heinemann, 2000 klausjurgen bathe, finite element procedures part 12, prentice hall, 1995. The scheme utilized has the advantages of requiring no costly remeshing, handling finite reynolds number, as well as incorporating nonlinear viscoelasticity in the fluid domain. The extended finite element method xfem is a numerical technique based on the generalized finite element method gfem and the partition of unity method pum. Partially penalized immersed finite element methods for. Basedon the ife method, the immersedfinite element particleincell ifepic method 37,39,40,54,55 has been developed to provide a promising approach for plasma simulations and applied to di. Treating the coupling of the structure deformations and the fluid flow poses a number of challenging problems for numerical simulations the elastic boundary changes the flow of the.
On computational issues of immersed finite element methods. The proposed immersed molecular electrokinetic finite element method couples electrokinetics with fluctuating hydrodynamics to study the motion and deformation of flexible objects immersed in a suspending medium under an applied electric field. A nonconforming immersed finite element method for elliptic interface problems. In this paper, we present the framework of the immersed molecular finite element method imfem. A unique simulation technique has been developed capable of modeling electric field induced detection of biomolecules such as viruses. This transformative bionanotechnology is being developed to enable drug delivery. Immersed finite element particleincell simulations of ion propulsion raed i. Read immersed finite element method and its applications to biological systems, computer methods in applied mechanics and engineering on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available. In the xfem, they use enrichment basis functions in addition to the standard finite element basis.
This work was inspired by the pioneering work of professor t. Immersed finite element method and its applications to biological. Analysis of a special immersed finite volume method 965 have to be imposed near the interface. An enriched immersed finite element method for interface. Design and optimization of a nanotip sensor via immersed. In this thesis we present a finite element approach to the immersed. Read the immersed molecular finite element method, computer methods in applied mechanics and engineering on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.
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