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Proc. -ICPP 2004 on Mobile and Wireless Networking, High Perform. Sci. and Eng. Comput., Netw. Des. and Archit., Opt.Netw. Control and Manage., Ad Hoc and Sensor Netw., Compile and Run Time Tech. for Parallel Comput.

作者： Wang, Dali Flaherty, Joseph E. Jansen, Kenneth E. Shepherd, Mark Institute for Environmental Modeling University of Tennessee Knoxville TN 37996 Sci. Computation Research Center Rensselaer Polytechnic Institute Troy NY 12180

ISBN: (纸本)0769521983

Melt flows associated with a Czochralski crystal growth process was investigated to better understand the transition from a steady laminar regime to an unsteady one as the Grashof number increases. The kinetic energy of the flow as a function of time was examined as an indication of stability. Three-dimensional solutions were interpolated onto a two-dimensional unstructured mesh to compute the Reynolds average mean flow and its fluctuations. Our simulations showed that the transition to unsteady three-dimensional flow begins at a Grashof number of approximately 3.0 million. At higher Grashof numbers (e.g., 6.6 million), the melt flow is fully unsteady, three-dimensional turbulent flow. The simulations further indicated that the melt flow at a Grashof number of 6.6 million is statistically stable, which suggested the Reynolds quasi-steady assumption is valid in this case.

关键词： Crystal growth from melt

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Cauchy-horizon singularity inside perturbed Kerr black holes

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Physical Review D 2016年第4期93卷 041501(R)-041501(R)页

作者： Lior M. Burko Gaurav Khanna Anıl Zenginoğlu School of Science and Technology Georgia Gwinnett College Lawrenceville Georgia 30043 USA Department of Physics University of Massachusetts Dartmouth Massachusetts 02747 USA Center for Scientific Computation and Mathematical Modeling University of Maryland College Park Maryland 20742 USA

The Cauchy horizon inside a perturbed Kerr black hole develops an instability that transforms it into a curvature singularity. We solve for the linearized Weyl scalars ψ0 and ψ4 and for the curvature scalar RαβγδRαβγδ along outgoing null rays approaching the Cauchy horizon in the interior of perturbed Kerr black holes using the Teukolsky equation, and compare our results with those found in perturbation analysis. Our results corroborate the previous perturbation analysis result that at its early parts the Cauchy horizon evolves into a deformationally weak, null, scalar-curvature singularity. We find excellent agreement for ψ0(u=const,v), where u, v are advanced and retarded times, respectively. We do find, however, that the exponential growth rate of RαβγδRαβγδ(u=const,v) approaching the singularity is dramatically slower than that found in perturbation analysis, and that the angular frequency is in excellent agreement.

关键词： Classical black holes Singularities In general relativity Spacetime topology & causal structure

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A review of mathematical models for leukemia and lymphoma

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Drug Discovery Today: Disease Models 2015年 16卷 1-6页

作者： Clapp, Geoffrey Levy, Doron Department of Mathematics University of Maryland College Park 20742 MD United States Center for Scientific Computation and Mathematical Modeling (CSCAMM) University of Maryland College Park 20742 MD United States

Recently, there has been significant activity in the mathematical community, aimed at developing quantitative tools for studying leukemia and lymphoma. Mathematical models have been applied to evaluate existing therapies and to suggest novel therapies. This article reviews the recent contributions of mathematical modeling to leukemia and lymphoma research. These developments suggest that mathematical modeling has great potential in this field. Collaboration between mathematicians, clinicians, and experimentalists can significantly improve leukemia and lymphoma therapy. © 2014 Elsevier Ltd. All rights reserved.

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On strong local alignment in the kinetic Cucker-Smale model

On strong local alignment in the kinetic Cucker-Smale model

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Workshop on Hyperbolic Conservation Laws and Related Analysis with Applications

作者： Karper, Trygve K. Mellet, Antoine Trivisa, Konstantina Center for Scientific Computation and Mathematical Modeling University of Maryland College Park MD 20742 United States Department of Mathematics University of Maryland College Park MD 20742 United States

ISBN: (纸本)9783642390067

In this paper, we rigorously derive a kinetic Cucker-Smale model with strong local alignment. The local alignment term is obtained by considering the limit of a non-local alignment term recently proposed by Motsch and Tadmor. The main difficulty in the analysis is presented by the non-symmetry of the Motsch-Tadmor term as well as the behavior of the velocity when the density vanishes (vacuum). Tools involved are the averaging lemma and several L p estimates. © Springer-Verlag Berlin Heidelberg 2014.

关键词： Kinetics

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A NONLINEAR LEAST-SQUARES CONVEXITY ENFORCING C⁰ INTERIOR PENALTY METHOD FOR THE MONGE–AMPÈRE EQUATION ON STRICTLY CONVEX SMOOTH PLANAR DOMAINS

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Communications of the American Mathematical Society 2024年第14期4卷 607-640页

作者： Brenner, Susanne C. Sung, Li-Yeng Tan, Zhiyu Zhang, Hongchao Department of Mathematics and Center for Computation and Technology Louisiana State University Baton Rouge 70803 LA United States Center for Computation and Technology Louisiana State University Baton Rouge LA United States School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing Xiamen University Fujian 361005 China

We construct a nonlinear least-squares finite element method for computing the smooth convex solutions of the Dirichlet boundary value problem of the Monge-Ampère equation on strictly convex smooth domains in R². It is based on an isoparametric C⁰ finite element space with exotic degrees of freedom that can enforce the convexity of the approximate solutions. A priori and a posteriori error estimates together with corroborating numerical results are presented. © 2024 by the author(s) under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License (CC BY NC ND 4.0)

关键词： Monge-Ampère equation strictly convex smooth domains nonlinear least-squares convexity enforcing 𝐶⁰ interior penalty method enhanced cubic Lagrange finite elements isoparametric a priori and a posteriori error estimates active set algorithm

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Managing data and computational complexity for immersive wildfire visualization

Managing data and computational complexity for immersive wil...

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21st European Conference on Modelling and Simulation, ECMS 2007

作者： Penick, Michael A. Hoang, Roger V. Harris Jr., Frederick C. Dascalu, Sergiu M. Brown, Timothy J. Sherman, William R. McDonald, Philip A. University of Nevada Reno Department of Computer Science and Engineering Reno NV 89557 United States Desert Research Institute Center for Advanced Computation and Modeling Reno NV 89512 United States

ISBN: (纸本)0955301823

Wildfires are a concern for communities throughout the world. They cause millions of dollars in damage and lead to loss of lives. The development of computational models to predict wildfire behavior is necessary to minimize wildfire damages and casualties. Visualizing the data generated from these computational models has many applications including training, strategic planning, data analysis, and model validation. The complexity of visualizing wildfire brings many challenges, further complicated by large datasets and specialized hardware used to drive immersive systems. This paper present methods for managing the large datasets and computational complexity involved in visualizing large wildfires in immersive environments. © 2007 ECMS.

关键词： Virtual reality

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Constraint Preserving Schemes Using Potential-Based Fluxes *** Transport Equations

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Communications in computational Physics 2011年第3期9卷 688-710页

作者： Siddhartha Mishra Eitan Tadmor Centre of Mathematics for Applications(CMA) University of OsloP.O.Box 1053BlindernN-0316 OsloNorway Center of Scientific Computation and Mathematical Modeling(CSCAMM) and Department of Mathematicsand Institute for Physical Sciences and Technology(IPST)University of MarylandMD 20742-4015USA

We consider constraint preserving multidimensional evolution equations.A prototypical example is provided by the magnetic induction equation of plasma *** constraint of interest is the divergence of the magnetic *** design finite volume schemes which approximate these equations in a stable manner and preserve a discrete version of the *** schemes are based on reformulating standard edge centered finite volume fluxes in terms of vertex centered *** potential-based approach provides a general framework for faithful discretizations of constraint transport and we apply it to both divergence preserving as well as curl preserving *** present benchmark numerical tests which confirm that our potential-based schemes achieve high resolution,while being constraint preserving.

关键词： Multidimensional evolution equations magnetohydrodynamics finite-difference finite volume schemes constraint transport potential-based schemes

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CAB models for water: New models for the interaction of thermal neutrons in water 10

CAB models for water: New models for the interaction of ther...

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10th Latin American Symposium on Nuclear Physics and Applications, LASNPA 2013

作者： Márquez Damián, J.I. Granada, J.R. Malaspina, D.C. Departamento Física de Neutrones Instituto Balseiro Centro Atómico Bariloche Bariloche Argentina Computation Modeling and Bioinformatics Center Northwestern University EvanstonIL United States CONICET United States

During the past few years we have been working at the Department of Neutron Physics at Centro Atómico Bariloche on an update of the evaluation of the thermal neutron scattering law for light and heavy water. We based our approach on combining the best available experimental data with molecular dynamics simulations. With this methodology we produced a set of new thermal neutron scattering files in ENDF-6 format, that result an improvement over existing evaluations. In this paper we present the models, a brief summary of the validation and some applications to nuclear reactor calculations. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

关键词： Nuclear reactors

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Spacelike matching to null infinity

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Physical Review D 2009年第2期80卷 024044-024044页

作者： Anıl Zenginoğlu Manuel Tiglio Department of Physics and Center for Scientific Computation and Mathematical Modeling University of Maryland College Park Maryland 20742 USA

We present two methods to include the asymptotic domain of a background spacetime in null directions for numerical solutions of evolution equations so that both the radiation extraction problem and the outer boundary problem are solved. The first method is based on the geometric conformal approach, the second is a coordinate based approach. We apply these methods to the case of a massless scalar wave equation on a Kerr spacetime. Our methods are designed to allow existing codes to reach the radiative zone by including future null infinity in the computational domain with relatively minor modifications. We demonstrate the flexibility of the methods by considering both Boyer-Lindquist and ingoing Kerr coordinates near the black hole. We also confirm numerically predictions concerning tail decay rates for scalar fields at null infinity in Kerr spacetime due to Hod for the first time.

关键词： black holes boundary-value problems geometry numerical analysis space-time configurations wave equations

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A brief summary of nonlinear echoes and Landau damping

arXiv

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arXiv 2017年

作者： Bedrossian, Jacob University of Maryland College Park Department of Mathematics and the Center for Scientific Computation and Mathematical Modeling

In this expository note we review some recent results on Landau damping in the nonlinear Vlasov equations, focusing specifically on the recent construction of nonlinear echo solutions by the author [arXiv:1605.06841] and the associated background. These solutions show that a straightforward extension of Mouhot and Villani’s theorem on Landau damping to Sobolev spaces on Tnx × Rnv is impossible and hence emphasize the subtle dependence on regularity of phase mixing problems. This expository note is specifically aimed at mathematicians who study the analysis of PDEs, but not necessarily those who work specifically on kinetic theory. However, for the sake of brevity, this review is certainly not comprehensive. Copyright © 2017, The Authors. All rights reserved.

关键词： Nonlinear equations

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