Massachusetts Institute of Technology – Page 7

Fast Fluid Analysis for Multibody Micromachined Devices

Wang X., Mucha P., White J.K., Massachusetts Institute of Technology, US

Recently developed fast integral equation methods for computing solutions to the Stokes' equation have proven to be a valuable tool for micro-machined device designers. The speed of these fast codes make it possible to simulate [...]

A Fast Stokes Solver for Generalized Flow Problems

Ye W., Wang X., White J.K., Massachusetts Institute of Technology, US

Computing drag forces on geometrically complicated 3-D micromachined structures, such asan entire comb resonator, is a challenging problem. The recently developed FastStokes solver, based on precorrected-FFT accelerated iterative methods, has made analyzing such problems much [...]

Reduced-Order Models of Stress-Stiffened MEMS Structures

Varghese M., Rabinovich V.L., Senturia S.D., Massachusetts Institute of Technology, US

We present a process for generating reduced-order models for stress-stiffened MEMS structures. The models are created using the established CHURN process, which uses non-linear, analytic, energy functions to describe the state of each conservative quasi-static [...]

A Quadratic Method for Nonlinear Model Order Reduction

Chen Y., White J.K., Massachusetts Institute of Technology, US

In order to simulate and optimize effciently systems which include micromachined devices, designers need dynamically accurate macromodels for the those devices. Although it is possible to develop such macromodels by hand, it would be vastly [...]

Robust Algorithms for Boundary-Element Integrals on Curved Surfaces

Wang X., Newman J.N., White J.K., Massachusetts Institute of Technology, US

This paper presents a new approach to computing 1/r singularities on curved panels. By using carefully chosen mapping techniques, a curved panel with curved edges is mapped to a at panel with straight edges. Analytical [...]

A Fast 3D Solver for Unsteady Stokes Flow with Applications to Micro-Electro-Mechanical Systems

Ye W., Kanapka J., White J.K., Massachusetts Institute of Technology, US

In this paper we describe the extensions made to FastStokes, a precorrected-FFT accelerated stady Stokes solver, to solve the unsteady Stokes equation. We demonstrate the accuracy of the numerical approach by comparing computed results to [...]

Efficiency and Accuracy Improvements for FastStokes, A Precorrected-FFT Accelerated 3-D Stokes Solver

Ye W., Kanapka J., Wang X., White J.K., Massachusetts Institute of Technology, US

In this paper we present several efficiency and accuracy improvement to the precorrected-FFT accelerated Stokes flow solver, FastStokes. Accuracy was improved by deriving analytical formulas for required integrals of Stokes equation Green sfunctions, cpu time [...]

A Wide Frequency Range Surface Integral Formulation for 3-D Inductance and Resistance Extraction

Wang J., Tausch J., White J.K., Massachusetts Institute of Technology, US

A new surface integral formulation and discretization approach for computing the magnetoquasistatic impedance of general conductors is described. The key advantage of the formulation is that it correctly predicts the resistance and inductance over the [...]

Reduced-Order Modeling of Lorentz Force Actuation with Modal Basis Functions

Varghese M., Rabinovich V.L., Senturia S.D., Massachusetts Institute of Technology, US

We present a method for generating dynamic reduced-order models for Lorentz force actuation in microelectromechanical systems (MEMS). These models, derived from a set of meshed simulations, are analytical representations of the magnetic co-energy of a [...]

Accurate Inductance Extraction with Permeable Materials Using Qualocation

Massoud Y., Wang J., White J.K., Massachusetts Institute of Technology, US

In this paper we present a more accurate method for solving a frequency-dependent inductance of 3-D structures that contains permeable materials. The extracted inductance using the new method is much more accurate than when using [...]