Relevant bibliographies by topics / Free boundary model

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Free boundary model'

Author: Grafiati
Published: 2 November 2024

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Journal articles on the topic "Free boundary model"

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Lions, P. L., and N. Masmoudi. "On a free boundary barotropic model." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 16, no. 3 (May 1999): 373–410. http://dx.doi.org/10.1016/s0294-1449(99)80018-3.

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Yi,, Tong Y., and Parviz E. Nikravesh. "Extraction of Free-Free Modes from Constrained Vibration Data for Flexible Multibody Models." Journal of Vibration and Acoustics 123, no. 3 (February 1, 2001): 383–89. http://dx.doi.org/10.1115/1.1375814.

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This paper presents a method for identifying the free-free modes of a structure by utilizing the vibration data of the same structure with boundary conditions. In modal formulations for flexible body dynamics, modal data are primary known quantities that are obtained either experimentally or analytically. The vibration measurements may be obtained for a flexible body that is constrained differently than its boundary conditions in a multibody system. For a flexible body model in a multibody system, depending upon the formulation used, we may need a set of free-free modal data or a set of constrained modal data. If a finite element model of the flexible body is available, its vibration data can be obtained analytically under any desired boundary conditions. However, if a finite element model is not available, the vibration data may be determined experimentally. Since experimentally measured vibration data are obtained for a flexible body supported by some form of boundary conditions, we may need to determine its free-free vibration data. The aim of this study is to extract, based on experimentally obtained vibration data, the necessary free-free frequencies and the associated modes for flexible bodies to be used in multibody formulations. The available vibration data may be obtained for a structure supported either by springs or by fixed boundary conditions. Furthermore, the available modes may be either a complete set, having as many modes as the number of degrees of freedom of the associated FE model, or an incomplete set.
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Liu, Yunfeng, Zhiming Guo, Mohammad El Smaily, and Lin Wang. "A Wolbachia infection model with free boundary." Journal of Biological Dynamics 14, no. 1 (January 1, 2020): 515–42. http://dx.doi.org/10.1080/17513758.2020.1784474.

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Kim, Kwang Ik, Zhigui Lin, and Qunying Zhang. "An SIR epidemic model with free boundary." Nonlinear Analysis: Real World Applications 14, no. 5 (October 2013): 1992–2001. http://dx.doi.org/10.1016/j.nonrwa.2013.02.003.

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Baker, Ruth E., Andrew Parker, and Matthew J. Simpson. "A free boundary model of epithelial dynamics." Journal of Theoretical Biology 481 (November 2019): 61–74. http://dx.doi.org/10.1016/j.jtbi.2018.12.025.

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Elmurodov, Alimardon, Abduraxmon Norov, N. Yuldasheva, Sanjarbek Yuldashev, and Mavjuda Sadullayeva. "Free boundary problem for predator-prey model." E3S Web of Conferences 401 (2023): 04062. http://dx.doi.org/10.1051/e3sconf/202340104062.

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In this article, we study the behavior of two species evolving in a domain with a free boundary. This system mimics the spread of invasive or new predator species, in which free boundaries represent the expanding fronts of predator species and are described by the Stefan condition. A priori estimates for the required functions are established. These estimates are used to prove the existence and uniqueness of the solution.
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Petrova, A. G., and V. V. Pukhnachev. "Free Boundary Problem in a Polymer Solution Model." Russian Journal of Mathematical Physics 28, no. 1 (January 2021): 96–103. http://dx.doi.org/10.1134/s1061920821010106.

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Takhirov, J. O., and A. Norov. "On a predator-prey model with free boundary." Uzbek Mathematical Journal 2019, no. 4 (December 2, 2019): 162–68. http://dx.doi.org/10.29229/uzmj.2019-4-17.

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Tambyah, Tamara A., Ryan J. Murphy, Pascal R. Buenzli, and Matthew J. Simpson. "A free boundary mechanobiological model of epithelial tissues." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2243 (November 2020): 20200528. http://dx.doi.org/10.1098/rspa.2020.0528.

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In this study, we couple intracellular signalling and cell-based mechanical properties to develop a novel free boundary mechanobiological model of epithelial tissue dynamics. Mechanobiological coupling is introduced at the cell level in a discrete modelling framework, and new reaction–diffusion equations are derived to describe tissue-level outcomes. The free boundary evolves as a result of the underlying biological mechanisms included in the discrete model. To demonstrate the accuracy of the continuum model, we compare numerical solutions of the discrete and continuum models for two different signalling pathways. First, we study the Rac–Rho pathway where cell- and tissue-level mechanics are directly related to intracellular signalling. Second, we study an activator–inhibitor system which gives rise to spatial and temporal patterning related to Turing patterns. In all cases, the continuum model and free boundary condition accurately reflect the cell-level processes included in the discrete model.
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Saavedra, Patricia, and L. Ridgway Scott. "Variational formulation of a model free-boundary problem." Mathematics of Computation 57, no. 196 (1991): 451. http://dx.doi.org/10.1090/s0025-5718-1991-1094958-0.

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Dissertations / Theses on the topic "Free boundary model"

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Tambyah, Tamara. "A novel free boundary mathematical model of epithelial tissues with mechanobiological coupling." Thesis, Queensland University of Technology, 2020. https://eprints.qut.edu.au/205987/1/Tamara_Tambyah_Thesis.pdf.

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Epithelial tissues are known to deform in response to chemical signals and mechanical forces or due to trauma, such as tumours and wounds. In this thesis, a novel free boundary mathematical model of epithelial tissues with mechanobiological coupling is developed to study how the deformation of epithelial tissues impacts tumour growth and wound healing. Mechanobiological coupling is introduced in a discrete modelling framework and new reaction-diffusion equations are derived. Case studies involving the Rac-Rho pathway and activator-inhibitor patterning demonstrate that the reaction-diffusion equations accurately reflect the biological processes included in the discrete model.
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Teles, da Silva A. F. "Application of boundary integral methods to the study of steep free surface waves." Thesis, University of Bristol, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279782.

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Heitzman, Michael Thomas Chicone Carmen Charles. "A free boundary gas dynamic model as a two-body field theory problem." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/7017.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb 26, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Professor Carmen Chicone. Vita. Includes bibliographical references.
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Glasner, Karl. "Multilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixtures." SIAM PUBLICATIONS, 2017. http://hdl.handle.net/10150/624087.

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This paper considers a free energy functional and corresponding free boundary problem for multilayered structures which arise from a mixture of a block copolymer and a weak solvent. The free boundary problem is formally derived from the limit of large solvent/polymer segregation and intermediate segregation between monomer species. A change of variables based on Legendre transforms of the effective bulk energy is used to explicitly construct a family of equilibrium solutions. The second variation of the effective free energy of these solutions is shown to be positive. This result is used to show more generally that equilibria are local minimizers of the free energy.
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Sidahmed, Abdelmgid Osman Mohammed. "Mesh free methods for differential models in financial mathematics." Thesis, University of the Western Cape, 2011. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_3917_1319185202.

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Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial products exists in the market, such as forwards, futures, swaps and options. Our main focus in this thesis is to use the numerical analysis tools to solve some option pricing problems. Depending upon the inter-relationship of the financial derivatives, the dimension of the associated problem increases drastically and hence conventional methods (for example, the finite difference methods or finite element methods) for solving them do not provide satisfactory results. To resolve this issue, we use a special class of numerical methods, namely, the mesh free methods. These methods are often better suited to cope with changes in the geometry of the domain of interest than classical discretization techniques. In this thesis, we apply these methods to solve problems that price standard and non-standard options. We then extend the proposed approach to solve Heston' volatility model. The methods in each of these cases are analyzed for stability and thorough comparative numerical results are provided.
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Wanntorp, Henrik. "Optimal Stopping and Model Robustness in Mathematical Finance." Doctoral thesis, Uppsala : Department of Mathematics, Uppsala University, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-9516.

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Formentin, Marco. "Two problems concerning interacting systems: 1. On the purity of the free boundary condition Potts measure on Galton-Watson trees 2. Uniform propagation of chaos in some spin-flip models." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3426494.

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Abstract: A rigorous approach to Statistical Physics issues often produces interesting mathematical questions. This Ph.D. thesis is composed of two different parts. One does not intersect the other, but both research topics lie at the interface between Probability Theory and Statistical Mechanics. • In the first part we deal with reconstruction of a tree-indexedMarkov chain on Galton-Watson trees, improving previous bound byMossel and Peres, both for symmetric and strongly asymmetric chains. Moreover, we give some numerical estimates to compare our bound with those of other authors. We provide a sufficient condition of the form Q(d)c(M) < 1 for the non-reconstructability of tree-indexed q-stateMarkov chains obtained by broadcasting a signal from the root with a given transition matrix M. Here c(M) is a constant depending on the transition matrixM and Q(d) is the expected number of offspring on the Galton-Watson tree. This result is equivalent to proving the extremality of the free boundary condition Gibbs measure within the corresponding Gibbs-simplex. When considering the Potts model case we take this point of view too. Our theorem holds for possibly non-reversible M. In the case of the symmetric Ising model the method produces the correct reconstruction threshold, in the case of the (strongly) asymmetric Ising modelwhere the Kesten-Stigum bound is known to be not sharp the method provides improved numerical bounds. • In the second part of the thesis we give sharp estimates for time uniformpropagation of chaos in some specialsmean field spin-flipmodels exhibiting phase transition. The first model is the dynamical Curie-Weiss model, that can be considered as the most basic mean field model. The second example is a model proposed recently in the context of credit risk in Finance; it describes the time evolution of finantial indicators for a network of interacting firms. Although we have chosen to deal with two specific models, the method we use appear to be rather general, and should work for other classes of models. A substantial limitation of our results is that they are limited to the subcritical case or, in StatisticalMechanical terms, to the high temperature regime.
Sommario: Un approccio rigoroso a questioni di Fisica Statistica spesso produce interessanti problemi matematici. Questa tesi di dottorato è composta da due parti. La prima non interseca la seconda, ma entrambe stanno sul confine tra Teoria della Probabilità e Meccanica Statistica. • La prima parte tratta il problema della ricostruzione per catene di Markov su alberi di tipo Galton-Watson. Miglioriamoi risultati precedentemente ottenuti da Mossel e Peres, sia per catene simmetriche che fortemente asimmetriche. Dimostriamo una condizione sufficiente della forma Q(d)c(M) < 1 per la non ricostruzione di catene diMarkov a q-stati sull’albero. Qui c(M) è una costante che dipende dalla matrice di transizione M e Q(d) è la media del numero di figli per vertice nell’albero di Galton-Watson. Questo risultato è equivalente alla purezza della misura libera di Gibbs. Quando consideriamo il caso del modello di Potts assumiamo anche questo punto di vista. Il teorema è valido anche per catene non reversibili. Nel caso del modello di Ising il nostro risultato produce la correta soglia di ricostruzione, nel caso di catene (fortemente) asimmetriche dove si sa che il bound di Kesten-Stigum non è esatto il metodo usato dà risultati numerici migliori. • Nella seconda parte diamo delle stime uniformi nel tempo per la propagazione del caos in alcuni modelli di spin con interazione a campo medio che presentano transizione di fase. Il primo è il modello dinamico di Curie-Weiss, che può essere considerato come il più semplice esempio di sistema con interazione a campo medio. Il secondo è un modello recentemente impiegato per spiegare i meccanismi del rischio di credito; esso descrive l’evoluzione temporale di indicatori finaziari per un gruppo di aziende interagenti quotate sul mercato. Anche se abbiamo trattato modelli specifici, crediamo che il metodo funzioni piuttosto in generale e che sia applicabile anche ad altre classi di modelli. Una limitazione sostanziale dei nostri risultati è che valgono solo nel caso sottocritico, che corrisponde, nel linguaggio della Meccanica Statistica, al regime di alta temperatura.
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Bu, Tianren. "Option pricing under exponential jump diffusion processes." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/option-pricing-under-exponential-jump-diffusion-processes(0dab0630-b8f8-4ee8-8bf0-8cd0b9b9afc0).html.

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The main contribution of this thesis is to derive the properties and present a closed from solution of the exotic options under some specific types of Levy processes, such as American put options, American call options, British put options, British call options and American knock-out put options under either double exponential jump-diffusion processes or one-sided exponential jump-diffusion processes. Compared to the geometric Brownian motion, exponential jump-diffusion processes can better incorporate the asymmetric leptokurtic features and the volatility smile observed from the market. Pricing the option with early exercise feature is the optimal stopping problem to determine the optimal stopping time to maximize the expected options payoff. Due to the Markovian structure of the underlying process, the optimal stopping problem is related to the free-boundary problem consisting of an integral differential equation and suitable boundary conditions. By the local time-space formula for semi-martingales, the closed form solution for the options value can be derived from the free-boundary problem and we characterize the optimal stopping boundary as the unique solution to a nonlinear integral equation arising from the early exercise premium (EEP) representation. Chapter 2 and Chapter 3 discuss American put options and American call options respectively. When pricing options with early exercise feature under the double exponential jump-diffusion processes, a non-local integral term will be found in the infinitesimal generator of the underlying process. By the local time-space formula for semi-martingales, we show that the value function and the optimal stopping boundary are the unique solution pair to the system of two integral equations. The significant contributions of these two chapters are to prove the uniqueness of the value function and the optimal stopping boundary under less restrictive assumptions compared to previous literatures. In the degenerate case with only one-sided jumps, we find that the results are in line with the geometric Brownian motion models, which extends the analytical tractability of the Black-Scholes analysis to alternative models with jumps. In Chapter 4 and Chapter 5, we examine the British payoff mechanism under one-sided exponential jump-diffusion processes, which is the first analysis of British options for process with jumps. We show that the optimal stopping boundaries of British put options with only negative jumps or British call options with only positive jumps can also be characterized as the unique solution to a nonlinear integral equation arising from the early exercise premium representation. Chapter 6 provides the study of American knock-out put options under negative exponential jump-diffusion processes. The conditional memoryless property of the exponential distribution enables us to obtain an analytical form of the arbitrage-free price for American knock-out put options, which is usually more difficult for many other jump-diffusion models.
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Jiang, An. "American Spread Option Pricing with Stochastic Interest Rate." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5987.

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In financial markets, spread option is a derivative security with two underlying assets and the payoff of the spread option depends on the difference of these assets. We consider American style spread option which allows the owners to exercise it at any time before the maturity. The complexity of pricing American spread option is that the boundary of the corresponding partial differential equation which determines the option price is unknown and the model for the underlying assets is two-dimensional.In this dissertation, we incorporate the stochasticity to the interest rate and assume that it satisfies the Vasicek model or the CIR model. We derive the partial differential equations with terminal and boundary conditions which determine the American spread option with stochastic interest rate and formulate the associated free boundary problem. We convert the free boundary problem to the linear complimentarity conditions for the American spread option, so that we can go around the free boundary and compute the option price numerically. Alternatively, we approximate the option price using methods based on the Monte Carlo simulation, including the regression-based method, the Lonstaff and Schwartz method and the dual method. We make the comparisons among the option prices derived by the partial differential equation method and Monte Carlo methods to show the accuracy of the result.
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Coelho, Afonso Valente Ricardo de Seabra. "American options and the Black-Scholes Model." Master's thesis, Instituto Superior de Economia e Gestão, 2020. http://hdl.handle.net/10400.5/20735.

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Mestrado em Mathematical Finance
Os problemas de apreçamento de opções têm sido um dos principais assuntos de em Matemática Financeira, desde a criação desse conceito nos anos 70. Mais especificamente, as opções americanas são de grande interesse nesta área do conhecimento porque são matematicamente muito mais complexas do que as opções europeias padrão e o modelo de Black-Scholes não fornece, na maioria dos casos, uma fórmula explícita para a determinação do preço deste tipo de opções. Nesta dissertação, mostramos como o estudo de opções americanas conduz à análise de problemas de fronteira livre devido à possibilidade de exercício antecipado, onde nosso principal objetivo é encontrar o preço de exercício ótimo. Também apresentamos a reformulação do problema em termos de um problema de complementaridade linear e de desigualdade variacional parabólica. Além disso, também abordamos a caracterização probabilística das opções americanas com base no conceito de tempos de paragem ótima. Essas formulações, aqui tratadas em termos analíticos ou probabilísticos, podem ser muito úteis na aplicação de métodos numéricos ao problema de precificação de opções do estilo americano, uma vez que, na maioria dos casos, é quase impossível encontrar soluções explícitas. Além disso, utilizamos o Método da Árvore Binomial, que é um método numérico muito simples do ponto de vista matemático, para ilustrar alguns aspectos da teoria estudada ao longo desta tese e para comparar as opções americanas com as opções europeias e bermudas, por meio de alguns exemplos numéricos.
Option pricing problems have been one of the main focuses in the field of Mathematical Finance since the creation of this concept in the 1970s. More specifically, American options are of great interest in this area of knowledge because they are much more complex mathematically than the standard European options and the Black-Scholes model cannot give an explicit formula to value this style options in most cases. In this dissertation, we show how pricing American options leads to free boundary problems because of the possibility of early exercise, where our main goal is to find the optimal exercise price. We also present how to reformulate the problem into a linear complementarity problem and a parabolic variational inequality. Moreover, we also address the probabilistic characterization of American options based on the concept of stopping times. These formulations, here viewed from the analytical and probabilistic point of view, can be very useful for applying numerical methods to the problem of pricing American style options since, in most cases, it is almost impossible to find explicit solutions. Furthermore, we use the Binomial Tree Method, which is a very simple numerical method from the mathematical point of view, to illustrate some aspects of the theory studied throughout this thesis and to compare American options with European and Bermudan Options, by means of a few numerical examples.
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Books on the topic "Free boundary model"

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International Conference on Computational Modelling of Free and Moving Boundary Problems (3rd 1995 Bled, Slovenia). Computational modelling of free and moving boundary problems III. Edited by Wrobel L. C. 1952-, Šarler B, Brebbia C. A, Wessex Institute of Technology, and Univerza v Ljubljani. Laboratory for Fluid Dynamics and Thermodynamics. Southampton: Computational Mechanics Publications, 1995.

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International, Conference on Computational Modelling of Free and Moving Boundary Problems (2nd 1993 Milan Italy). Computational modelling of free and moving boundary problems II: Second International Conference on Computational Modelling of Free and Moving Boundary Problems 93. Southampton: Computational Mechanics Publications co-published with, 1993.

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1952-, Wrovel L. C., and Brebbia C. A, eds. Computational methods for free and moving boundary problems in heat and fluid flow. Southampton: Computational Mechanics Publications, 1993.

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K, Wideman J., and United States. National Aeronautics and Space Administration., eds. Skin-friction measurements in a 3-D, supersonic shock-wave/boundary-layer interaction: 32nd Aerospace Sciences Meeting & Exhibit, January 10-13, 1994/Reno, NV. Washington, D.C: American Institute of Aeronautics and Astronautics, 1994.

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S, Bookout Paul, and United States. National Aeronautics and Space Administration., eds. Measurement of residual flexibility for substructures having prominent flexible interfaces. [Washington, DC: National Aeronautics and Space Administration, 1994.

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S, Bookout Paul, and United States. National Aeronautics and Space Administration., eds. Measurement of residual flexibility for substructures having prominent flexible interfaces. [Washington, DC: National Aeronautics and Space Administration, 1994.

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K, Wideman J., and United States. National Aeronautics and Space Administration., eds. Skin-friction measurements in a 3-D, supersonic shock-wave/boundary-layer interaction: 32nd Aerospace Sciences Meeting & Exhibit, January 10-13, 1994/Reno, NV. Washington, D.C: American Institute of Aeronautics and Astronautics, 1994.

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K, Wideman J., and United States. National Aeronautics and Space Administration., eds. Skin-friction measurements in a 3-D, supersonic shock-wave/boundary-layer interaction: 32nd Aerospace Sciences Meeting & Exhibit, January 10-13, 1994/Reno, NV. Washington, D.C: American Institute of Aeronautics and Astronautics, 1994.

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International Conference on Computational Modelling of Free and Moving Boundary Problems (1st 1991 Southampton, England). Computational modelling of free and moving boundary problems: Proceedings of the first International Conference, held 2-4, July, 1991, Southampton, U.K. Edited by Wrobel L. C. 1952- and Brebbia C. A. Southampton: Computational Mechanics Publications co-published with, 1991.

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Center, Ames Research, ed. Improved two-equation k - [omega] turbulence models for aerodynamic flows. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1992.

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Book chapters on the topic "Free boundary model"

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Henseler, Reiner, Barbara Niethammer, and Felix Otto. "A Reduced Model for Simulating Grain Growth." In Free Boundary Problems, 177–87. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7893-7_14.

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Shirakawa, Ken, Akio Ito, and Atsushi Kadoya. "Solvability for a PDE Model of Regional Economic Trend." In Free Boundary Problems, 403–12. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_39.

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Tao, Youshan, and Qian Guo. "Simulation of a Model of Tumors with Virus-therapy." In Free Boundary Problems, 435–44. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_42.

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Penrose, Oliver, and J. W. Cahn. "A Mathematical Model for Diffusion-induced Grain Boundary Motion." In Free Boundary Problems, 237–54. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7893-7_19.

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Segatti, Antonio. "Global Attractors for the Quasistationary Phase Field Model: a Gradient Flow Approach." In Free Boundary Problems, 381–90. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_37.

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Bellettini, Giovanni, and Riccardo March. "Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth." In Free Boundary Problems, 75–84. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_8.

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Capasso, Vincenzo, Ramon Escobedo, and Claudia Salani. "Moving Bands and Moving Boundaries in an Hybrid Model for the Crystallization of Polymers." In Free Boundary Problems, 75–86. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7893-7_6.

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Clarelli, F., B. De Filippo, and R. Natalini. "A Free-Boundary Model of Corrosion." In Mathematics in Industry, 935–41. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-23413-7_131.

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Hoffmann, K. H., and Kunkun Liu. "A thermodynamical model of ferromagnetism and its numerical simulation." In Numerical Methods for Free Boundary Problems, 175–89. Basel: Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5715-4_15.

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Juárez, L. H., P. Saavedra, and M. Salazar. "Computational Study of a Free-Boundary Model." In Advances in Optimization and Numerical Analysis, 245–60. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8330-5_16.

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Conference papers on the topic "Free boundary model"

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Lubashevsky, Igor A., Alexander V. Priezzhev, Vasyl V. Gafiychuk, and Meruzhan G. Cadjan. "Free-boundary model for local thermal coagulation." In Photonics West '96, edited by Steven L. Jacques. SPIE, 1996. http://dx.doi.org/10.1117/12.239559.

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Elmurodov, Alimardon, Ibodat Khaldibaeva, and Nurila Yuldoshev. "Predator-prey model with a free boundary." In PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0201883.

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Lubashevsky, Igor A., Alexander V. Priezzhev, V. V. Gafiychuk, and Meruzhan G. Cadjan. "Dynamic free-boundary model for laser thermal tissue coagulation." In BiOS Europe '96, edited by Hansjoerg Albrecht, Guy P. Delacretaz, Thomas H. Meier, Rudolf W. Steiner, and Lars O. Svaasand. SPIE, 1996. http://dx.doi.org/10.1117/12.260722.

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Orzechowski, Grzegorz, and Aki M. Mikkola. "Boundary Conditions and Craig-Bampton Substructuring Technique With Free-Free Modes." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67397.

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The floating frame of reference formulation allows for description of the kinematics of a deformable body using generalized coordinates that define the body local reference frame and deformations with respect to that frame. In practical applications, the formulation need to be used in conjunction with of a model order reduction approach. The paper investigates the usage of the model reduction through the Craig-Bampton method with the mean-axis reference frame conditions. Analysis involves static numerical examples of the beam structures, modeled using commercial packages with different boundary conditions and loads. It is shown that commonly employed orthonormalization technique dissolves the influence of the static correction modes in many assumed deformation modes of a deformable body. Consequently, a care should be taken in model validation when this popular approach for modeling flexible bodies is used.
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Yi, Thomas T. "Free-Free Vibration Extraction From Available Vibration Data." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1255.

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Abstract This paper presents a procedure for identifying the free-free vibration data of a structure from the available vibration data of the same structure with boundary conditions. For a structure in a mechanical system, depending upon the dynamic formulation used, we may need a set of free-free modal data or a set of constrained modal data. If a finite element model of the structure is available, its vibration data can be obtained analytically under any desired boundary conditions. However, if a finite element model is not available, the vibration data may be determined experimentally. Since experimentally measured vibration data are obtained for a structure supported by some form of boundary conditions, we may need to determine its free-free vibration data. The aim of this study is to extract, based on experimentally obtained vibration data, the necessary free-free frequencies and the associated modes for structures to be used in dynamic formulations. The available vibration data may be obtained for a structure supported either by springs or by fixed boundary conditions. Furthermore, the available modes may be either a complete set; i.e., as many modes as the number of degrees of freedom of the associated FE model is available, or it can be an incomplete set.
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Elmurodov, Alimardon, Muyassar Hidoyatova, and Zardila Shakhobiddiova. "On the free boundary problem for the predator-prey model." In NOVEL TRENDS IN RHEOLOGY IX. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0156674.

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Volino, Ralph J. "A New Model for Free-Stream Turbulence Effects on Boundary Layers." In ASME 1997 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/97-gt-122.

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A model has been developed to incorporate more of the physics of free-stream turbulence effects into boundary layer calculations. The transport in the boundary layer is modeled using three terms: 1) the molecular viscosity, ν; 2) the turbulent eddy viscosity, εT, as used in existing turbulence models; and 3) a new free-stream induced eddy viscosity, εf. The three terms are added to give an effective total viscosity. The free-stream induced viscosity is modeled algebraically with guidance from experimental data. It scales on the rms fluctuating velocity in the free-stream, the distance from the wall, and the boundary layer thickness. The model assumes a direct tie between boundary layer and free-stream fluctuations, and a distinctly different mechanism than the diffusion of turbulence from the free-stream to the boundary layer assumed in existing higher order turbulence models. The new model can be used in combination with any existing turbulence model. It is tested here in conjunction with a simple mixing length model and a parabolic boundary layer solver. Comparisons to experimental data are presented for flows with free-stream turbulence intensities ranging from 1 to 8% and for both zero and non-zero streamwise pressure gradient cases. Comparisons are good. Enhanced heat transfer in higher turbulence cases is correctly predicted. The effect of the free-stream turbulence on mean velocity and temperature profiles is also well predicted. In turbulent flow, the log region in the inner part of the boundary layer is preserved, while the wake is suppressed. The new model provides a simple and effective improvement for boundary layer prediction.
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Yi, Tong Y., and Parviz E. Nikravesh. "Identification of Free-Free Modes From Constrained Vibration Data for Flexible Multibody Models." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8231.

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Abstract This paper presents a method for identifying the free-free modes of a structure by utilizing the vibration data of the same structure with boundary conditions. In modal formulations for flexible body dynamics, modal data are primary known quantities that are obtained either experimentally or analytically. The vibration measurements may be obtained for a flexible body that is constrained differently than its boundary conditions in a multibody system. For a flexible body model in a multibody system, depending upon the formulation used, we may need a set of free-free modal data or a set of constrained modal data. If a finite element model of the flexible body is available, its vibration data can be obtained analytically under any desired boundary conditions. However, if a finite element model is not available, the vibration data may be determined experimentally. Since experimentally measured vibration data are obtained for a flexible body supported by some form of boundary conditions, we may need to determine its free-free vibration data. The aim of this study is to extract, based on experimentally obtained vibration data, the necessary free-free frequencies and the associated modes for flexible bodies to be used in multibody formulations. The available vibration data may be obtained for a structure supported either by springs or by fixed boundary conditions. Furthermore, the available modes may be either a complete set; i.e., as many modes as the number of degrees of freedom of the associated FE model is available, or it can be an incomplete set.
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Elmurodov, Alimardon, Nurilla Yuldashev, Rustam Maqsudov, and Gulnoz Abdikayimova. "A Leslie-Gower predator-prey model with a two-free boundary." In 2022 International Conference on Information Science and Communications Technologies (ICISCT). IEEE, 2022. http://dx.doi.org/10.1109/icisct55600.2022.10146896.

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Johnson, Mark W. "A Bypass Transition Model for Boundary Layers." In ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/93-gt-090.

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Experimental data for laminar boundary layers developing below a turbulent free stream shows that the fluctuation velocities within the boundary layer increase in amplitude until some critical level is reached which initiates transition. In the near wall region, a simple model, containing a single empirical parameter which depends only on the turbulence level and length scale, is derived to predict the development of the velocity fluctuations in laminar boundary layers with favourable, zero or adverse pressure gradients. A simple bypass transition model which considers the streamline distortion in the near wall region brought about by the velocity fluctuations suggests that transition will commence when the local turbulence level reaches approximately 23%. This value is consistent with experimental findings. This critical local turbulence level is used to derive a bypass transition prediction formula which compares reasonably with start of transition experimental data for a range of pressure gradients (λθ = −0.01 to 0.01) and turbulence levels (Tu = 0.2% to 5%). Further improvement to the model is proposed through prediction of the boundary layer distortion, which occurs due to Reynolds stresses generated within the boundary layer at high free stream turbulence levels and also through inclusion of the effect of turbulent length scale as well as turbulence level.
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Reports on the topic "Free boundary model"

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Trahan, Corey, Jing-Ru Cheng, and Amanda Hines. ERDC-PT : a multidimensional particle tracking model. Engineer Research and Development Center (U.S.), January 2023. http://dx.doi.org/10.21079/11681/48057.

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This report describes the technical engine details of the particle- and species-tracking software ERDC-PT. The development of ERDC-PT leveraged a legacy ERDC tracking model, “PT123,” developed by a civil works basic research project titled “Efficient Resolution of Complex Transport Phenomena Using Eulerian-Lagrangian Techniques” and in part by the System-Wide Water Resources Program. Given hydrodynamic velocities, ERDC-PT can track thousands of massless particles on 2D and 3D unstructured or converted structured meshes through distributed processing. At the time of this report, ERDC-PT supports triangular elements in 2D and tetrahedral elements in 3D. First-, second-, and fourth-order Runge-Kutta time integration methods are included in ERDC-PT to solve the ordinary differential equations describing the motion of particles. An element-by-element tracking algorithm is used for efficient particle tracking over the mesh. ERDC-PT tracks particles along the closed and free surface boundaries by velocity projection and stops tracking when a particle encounters the open boundary. In addition to passive particles, ERDC-PT can transport behavioral species, such as oyster larvae. This report is the first report of the series describing the technical details of the tracking engine. It details the governing equation and numerical approaching associated with ERDC-PT Version 1.0 contents.
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Bizer, Kilian, and Martin Führ. Responsive Regulierung für den homo oeconomicus institutionalis – Ökonomische Verhaltenstheorie in der Verhältnismäßigkeitsprüfung. Sonderforschungsgruppe Institutionenanalyse, 2001. http://dx.doi.org/10.46850/sofia.393379529x.

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The starting point of the research project was the hypothesis that the "principle of proportionality", which is fundamental to law, is related to the "economic principle". The resulting methodological similarities were intended to enable a cross-disciplinary bridge to be built, which would allow the findings of economic analysis to be made fruitful for legal issues. This was practically tested in three study areas in order to be able to better classify the performance of the analytical tools. The foundations for interdisciplinary bridge building are found in the rational-choice paradigm. In both disciplines, this paradigm calls for an examination of the relationship between the purpose-means-relations: among the design options under consideration, the one must be selected that is expected to be as (freedom- or resource-) sparing as possible, in other words, the most "waste-free" solution to the control problem.The results of the economic analysis can thus be "translated" in such a way that, within the framework of "necessity", they support the search for control instruments that are equivalent to the objective but less disruptive. supports. The core of the positive economic analysis is the motivational situation of those actors whose behavior is to be influenced by a changed legal framework. In this context, the classical behavioral model of economics proved to be too limited. It therefore had to be developed further in line with the findings of research in institutional economics into homo oeconomicus institutionalis. This behavioral model takes into account not only the consequentialist, strictly situational utility orientation of the model person, but also other factors influencing behavior, including above all those that are institutionally mediated. If one takes the motivational situation of the actors as the starting point for policy-advising design recommendations, it becomes apparent that an understanding of governance dominated by imperative behavioral specifications leads to less favorable results, both in terms of the degree to which goals are achieved and in terms of the freedom-impairing effects, than a mixed-instrument approach oriented toward the model of "responsive regulation." According to this model, the law can no longer simply assume that those subject to the law will "obediently" execute the legal commands. It must ask itself what other factors determine behavior and under what boundary conditions changes can be expected in the direction of the desired behavior. For this reason, too, it must engage with the cognitive program of the behavioral sciences. This linkage opens up new perspectives for interdisciplinary research on the consequences of laws.
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Tire Experimental Characterization Using Contactless Measurement Methods. SAE International, August 2021. http://dx.doi.org/10.4271/2021-01-1114.

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In the frame of automotive Noise Vibration and Harshness (NVH) evaluation, inner cabin noise is among the most important indicators. The main noise contributors can be identified in engine, suspensions, tires, powertrain, brake system, etc. With the advent of E-vehicles and the consequent absence of the Internal Combustion Engine (ICE), tire/road noise has gained more importance, particularly at mid-speed driving and in the spectrum up to 300 Hz. At the state of the art, the identification and characterization of Noise and Vibration sources rely on pointwise sensors (microphones, accelerometers, strain gauges). Optical methods such as Digital Image Correlation (DIC) and Laser Doppler Vibrometer (LDV) have recently received special attention in the NVH field because they can be used to obtain full-field measurements. Moreover, these same techniques could also allow to characterize the tire behavior in operating conditions, which would be practically impossible to derive with standard techniques. In this paper we will demonstrate how non-contact full-field measurement techniques can be used to reliably and robustly characterize the tire behavior up to 300 Hz, focusing on static conditions. Experimental modal analysis will extract the modal characteristic of the tire in both free-free and statically preloaded boundary conditions, using both DIC and LDV. The extracted natural frequencies, damping ratios and full-field mode shapes will be used on one side to improve the accuracy of tire models (either by deriving FRF based models or updating FE ones) but also as a reference for future investigation on the tire behavior characterization in rotating conditions.
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