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A Second Order Front Tracking Solution of the Euler Equations

by Jeroen A. S. Witteveen
"... A second order front tracking method is developed for solving the Euler equations of in-viscid fluid dynamics numerically. Front tracking methods are usually limited to first order accuracy, since they are based on a piecewise constant approximation of the solution. Here the second order convergence ..."
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A second order front tracking method is developed for solving the Euler equations of in-viscid fluid dynamics numerically. Front tracking methods are usually limited to first order accuracy, since they are based on a piecewise constant approximation of the solution. Here the second order

A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations

by J. A. S. Witteveen
"... Summary. Front tracking methods can be used to accurately resolve discontinu-ities in numerical simulations of Euler flows. They usually result in first-order error convergence due to their piecewise constant approximation of the flow conditions. In this chapter, a piecewise linear reconstruction of ..."
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Summary. Front tracking methods can be used to accurately resolve discontinu-ities in numerical simulations of Euler flows. They usually result in first-order error convergence due to their piecewise constant approximation of the flow conditions. In this chapter, a piecewise linear reconstruction

An Improved Adaptive Background Mixture Model for Realtime Tracking with Shadow Detection

by P. Kaewtrakulpong, R. Bowden , 2001
"... Real-time segmentation of moving regions in image sequences is a fundamental step in many vision systems including automated visual surveillance, human-machine interface, and very low-bandwidth telecommunications. A typical method is background subtraction. Many background models have been introduce ..."
Abstract - Cited by 225 (4 self) - Add to MetaCart
not distinguish between moving shadows and moving objects. This paper presents a method which improves this adaptive background mixture model. By reinvestigating the update equations, we utilise different equations at different phases. This allows our system learn faster and more accurately as well as adapt

Particle Filters for Positioning, Navigation and Tracking

by Fredrik Gustafsson, Fredrik Gunnarsson, Niclas Bergman, Urban Forssell, Jonas Jansson, Rickard Karlsson, Per-Johan Nordlund , 2002
"... A framework for positioning, navigation and tracking problems using particle filters (sequential Monte Carlo methods) is developed. It consists of a class of motion models and a general non-linear measurement equation in position. A general algorithm is presented, which is parsimonious with the part ..."
Abstract - Cited by 219 (23 self) - Add to MetaCart
A framework for positioning, navigation and tracking problems using particle filters (sequential Monte Carlo methods) is developed. It consists of a class of motion models and a general non-linear measurement equation in position. A general algorithm is presented, which is parsimonious

An Unconditionally Stable Method For The Euler Equations

by Helge Holden, Knut-Andreas Lie, Nils Henrik Risebro - J. COMPUT. PHYS , 1999
"... We discuss how to combine a front tracking method with dimensional splitting to solve numerically systems of conservation laws in two space dimensions. In addition we present an adaptive grid refinement strategy. The method is unconditionally stable and allows for moderately high cfl numbers (typ ..."
Abstract - Cited by 10 (4 self) - Add to MetaCart
We discuss how to combine a front tracking method with dimensional splitting to solve numerically systems of conservation laws in two space dimensions. In addition we present an adaptive grid refinement strategy. The method is unconditionally stable and allows for moderately high cfl numbers

The Fast Construction of Extension Velocities in Level Set Methods

by D. Adalsteinsson, J. A. Sethian - Journal of Computational Physics , 1997
"... Level set techniques are numerical techniques for tracking the evolution of interfaces. They rely on two central embeddings; rst the embedding of the interface as the zero level set of a higher dimensional function, and second, the embedding (or extension) of the interface's velocity to this hi ..."
Abstract - Cited by 218 (12 self) - Add to MetaCart
to this higher dimensional level set function. This paper applies Sethian's Fast Marching Method, which is a very fast technique for solving the Eikonal and related equations, to the problem of building fast and appropriate extension velocities for the neighboring level sets. Our choice and construction

Three Dimensional Front Tracking

by James Glimm, John W. Grove, Xiao Lin Li, Keh-Ming Shyue, Yanni Zeng, Qiang Zhang - SIAM J. Sci. Comp , 1995
"... . We describe a three dimensional front tracking algorithm, discuss its numerical implementation, and present studies to validate the correctness of this approach. Based on the results of the two dimensional computations, we expect three dimensional front tracking to improve significantly computatio ..."
Abstract - Cited by 85 (21 self) - Add to MetaCart
. We describe a three dimensional front tracking algorithm, discuss its numerical implementation, and present studies to validate the correctness of this approach. Based on the results of the two dimensional computations, we expect three dimensional front tracking to improve significantly

Improved Parabolization of the Euler Equations

by Aaron Towne, Tim Colonius
"... We present a new method for stability and modal analysis of shear flows and their acous-tic radiation. The Euler equations are modified and solved as a spatial initial value problem in which initial perturbations are specified at the flow inlet and propagated downstream by integration of the equatio ..."
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We present a new method for stability and modal analysis of shear flows and their acous-tic radiation. The Euler equations are modified and solved as a spatial initial value problem in which initial perturbations are specified at the flow inlet and propagated downstream by integration

A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows

by Y. C. Chang, T. Y. Hou, B. Merriman, S. Osher - JOURNAL OF COMPUTATIONAL PHYSICS 124, 449–464 , 1996
"... A level set formulation is derived for incompressible, immiscible smooths out the front. In the case of irrotational flow, one Navier–Stokes equations separated by a free surface. The interface can reformulate the problem in the boundary integral form is identified as the zero level set of a smoot ..."
Abstract - Cited by 179 (13 self) - Add to MetaCart
A level set formulation is derived for incompressible, immiscible smooths out the front. In the case of irrotational flow, one Navier–Stokes equations separated by a free surface. The interface can reformulate the problem in the boundary integral form is identified as the zero level set of a

B.: Heterogeneous multiscale methods for interface tracking of combustion fronts

by Yi Sun, Bjorn Engquist - SIAM Multiscale Model. Simul , 2006
"... Abstract. In this paper we investigate the heterogeneous multiscale methods (HMM) for inter-face tracking and apply the technique to the simulation of combustion fronts. Our goal is to overcome the numerical difficulties, which are caused by different time scales between the transport part and the r ..."
Abstract - Cited by 7 (3 self) - Add to MetaCart
of stiffness of common problems in combustion processes. Numerical results for Majda’s model and reactive Euler equations in one and two dimensions show substantially improved efficiency over traditional methods.
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