Journal articles: 'Moving boundary'

1

Čanić, Sunčica. "Moving boundary problems." Bulletin of the American Mathematical Society 58, no. 1 (July 23, 2020): 79–106. http://dx.doi.org/10.1090/bull/1703.

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2

Altmann, Robert. "Moving Dirichlet boundary conditions." ESAIM: Mathematical Modelling and Numerical Analysis 48, no. 6 (October 10, 2014): 1859–76. http://dx.doi.org/10.1051/m2an/2014022.

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3

Cai, Shang-Gui, Abdellatif Ouahsine, Julien Favier, and Yannick Hoarau. "Moving immersed boundary method." International Journal for Numerical Methods in Fluids 85, no. 5 (June 9, 2017): 288–323. http://dx.doi.org/10.1002/fld.4382.

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4

Prust, Logan J. "Moving and reactive boundary conditions in moving-mesh hydrodynamics." Monthly Notices of the Royal Astronomical Society 494, no. 4 (April 24, 2020): 4616–26. http://dx.doi.org/10.1093/mnras/staa1031.

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ABSTRACT We outline the methodology of implementing moving boundary conditions into the moving-mesh code manga. The motion of our boundaries is reactive to hydrodynamic and gravitational forces. We discuss the hydrodynamics of a moving boundary as well as the modifications to our hydrodynamic and gravity solvers. Appropriate initial conditions to accurately produce a boundary of arbitrary shape are also discussed. Our code is applied to several test cases, including a Sod shock tube, a Sedov–Taylor blast wave, and a supersonic wind on a sphere. We show the convergence of conserved quantities in our simulations. We demonstrate the use of moving boundaries in astrophysical settings by simulating a common envelope phase in a binary system, in which the companion object is modelled by a spherical boundary. We conclude that our methodology is suitable to simulate astrophysical systems using moving and reactive boundary conditions.

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5

Glaz, J., and B. Johnson. "Boundary crossing for moving sums." Journal of Applied Probability 25, no. 1 (March 1988): 81–88. http://dx.doi.org/10.2307/3214235.

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Let Xi, i ≧ 1, be a sequence of independent N(0, 1) random variables and Sj,m = Xj + · ·· + Xj+m–1, the jth moving sum. Let τ m = inf{j ≧ 1 : Sj,m > a} + m – 1, the boundary crossing time. Approximation in the spirit of Glaz and Johnson (1984), (1986) and Samuel-Cahn (1983) are given for Pr(τm > n), E(τ m), and σ (τ m),the standard deviation of τm.

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6

Egberts, Linde. "Moving beyond the hard boundary." Journal of Cultural Heritage Management and Sustainable Development 9, no. 1 (February 4, 2019): 62–73. http://dx.doi.org/10.1108/jchmsd-12-2016-0067.

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Purpose The purpose of this paper is to assess the consequences of a nature-culture divide in spatial policy on cultural heritage in the Dutch Wadden Sea area, which is protected by UNESCO for its ecological assets. Design/methodology/approach This paper investigates this by discussing the international and national policy frameworks and regional examples of the consequences of the divide. Findings The effects of the nature-culture divide appear to be negative for the landscape. Approaching the Wadden Sea Region as an agricultural-maritime landscape could help overcome the fixation on nature vs culture and the hardness of the sea dikes as spatial boundaries between the two domains. A reconsideration of the trilateral Wadden Sea region as a mixed World Heritage Site could lead to a more integrated perspective. Originality/value These findings inform policy development and the management of landscape and heritage in the region. This case forms an example for other European coastal regions that struggle with conflicting natural and cultural-historical interests.

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7

Gaffour, L., and G. Grigorian. "Circular waveguide of moving boundary." Journal of Electromagnetic Waves and Applications 10, no. 1 (January 1996): 97–108. http://dx.doi.org/10.1163/156939396x00243.

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8

Glaz, J., and B. Johnson. "Boundary crossing for moving sums." Journal of Applied Probability 25, no. 01 (March 1988): 81–88. http://dx.doi.org/10.1017/s0021900200040651.

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Let Xi, i ≧ 1, be a sequence of independent N(0, 1) random variables and Sj,m = Xj + · ·· + Xj+m –1 , the jth moving sum. Let τ m = inf{j ≧ 1 : Sj,m > a} + m – 1, the boundary crossing time. Approximation in the spirit of Glaz and Johnson (1984), (1986) and Samuel-Cahn (1983) are given for Pr(τ m > n), E(τ m ), and σ (τ m ),the standard deviation of τ m .

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9

Harmon, Bryan J., Inkeun Leesong, and Fred E. Regnier. "Moving boundary electrophoretically mediated microanalysis." Journal of Chromatography A 726, no. 1-2 (March 1996): 193–204. http://dx.doi.org/10.1016/0021-9673(95)00969-8.

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10

Cryer, Colin C., and John Crank. "Free and Moving Boundary Problems." Mathematics of Computation 46, no. 174 (April 1986): 765. http://dx.doi.org/10.2307/2008018.

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11

Zhao, Xiang, Liming Yang, Chang Xu, and Chang Shu. "An overset boundary condition-enforced immersed boundary method for incompressible flows with large moving boundary domains." Physics of Fluids 34, no. 10 (October 2022): 103613. http://dx.doi.org/10.1063/5.0122257.

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Conventional immersed boundary methods (IBMs) have greatly simplified the boundary condition treatment by interpreting boundaries as forces in the source terms of governing equations. In conventional IBMs, uniform meshes of very high resolution must be applied near the immersed boundary to treat the solid–fluid interface. However, this can induce a high computational cost for simulating flows with large moving boundary domains, where everywhere along the trajectory of the moving object must be refined isotropically. In the worst scenario, a global refinement is required when the object is moving arbitrarily in the entire computational domain. In this work, an overset boundary condition-enforced immersed boundary method (overset BC-enforced IBM) is proposed to simulate incompressible flows with large moving boundary domains efficiently. In the proposed overset BC-enforced IBM, a locally refined uniform mesh is applied and fixed on the moving object to account for the local motions, e.g., the rotation and deformation of the object, while the global motion of the object is handled by embedding the locally refined mesh in a coarser background mesh. Both the local mesh and the global background mesh can be generated automatically using the Cartesian approach to avoid the cumbersome boundary treatment. Since the mesh refinement is local, considerable computational savings can be achieved. The overset BC-enforced IBM is combined with the lattice Boltzmann flux solver to simulate various fluid–structure interaction problems with rigid and deformable boundaries.

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12

Quinn, Dennis W., and Mark E. Oxley. "The boundary element method applied to moving boundary problems." Mathematical and Computer Modelling 14 (1990): 145–50. http://dx.doi.org/10.1016/0895-7177(90)90164-i.

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13

Zerroukat, M., and L. C. Wrobel. "A Boundary Element Method for Multiple Moving Boundary Problems." Journal of Computational Physics 138, no. 2 (December 1997): 501–19. http://dx.doi.org/10.1006/jcph.1997.5829.

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14

Frauhammer, Jörg, Harald Klein, Gerhart Eigenberger, and Ulrich Nowak. "Solving moving boundary problems with an adaptive moving grid method." Chemical Engineering Science 53, no. 19 (October 1998): 3393–411. http://dx.doi.org/10.1016/s0009-2509(98)00135-3.

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15

Menu, Eric, and Stavros Tavoularis. "Boundary Layer on a Moving Wall." AIAA Journal 45, no. 1 (January 2007): 313–16. http://dx.doi.org/10.2514/1.25752.

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16

Cobb, Bryant F., and Virgil L. Koenig. "MOVING BOUNDARY ELECTROPHORESIS IN TRIS BUFFERS." International Journal of Protein Research 3, no. 1-4 (January 9, 2009): 301–11. http://dx.doi.org/10.1111/j.1399-3011.1971.tb01724.x.

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17

Bulbich, A. A., and P. E. Pumpyan. "Nucleation on a moving twin boundary." Ferroelectrics 124, no. 1 (December 1991): 11–16. http://dx.doi.org/10.1080/00150199108209407.

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18

HOWISON, S. D., J. R. OCKENDON, and A. A. LACEY. "SINGULARITY DEVELOPMENT IN MOVING-BOUNDARY PROBLEMS." Quarterly Journal of Mechanics and Applied Mathematics 38, no. 3 (1985): 343–60. http://dx.doi.org/10.1093/qjmam/38.3.343.

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19

Billó, Marco, Daniel Cangemi, and Paolo Di Vecchia. "Boundary states for moving D-branes." Physics Letters B 400, no. 1-2 (May 1997): 63–70. http://dx.doi.org/10.1016/s0370-2693(97)00329-8.

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20

Yüce, Cem. "Exact solvability of moving boundary problems." Physics Letters A 327, no. 2-3 (June 2004): 107–12. http://dx.doi.org/10.1016/j.physleta.2004.05.014.

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21

Manchuk, John G., and Clayton V. Deutsch. "Boundary modeling with moving least squares." Computers & Geosciences 126 (May 2019): 96–106. http://dx.doi.org/10.1016/j.cageo.2019.02.006.

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22

Murphy, K. A. "Parameter estimation in moving boundary problems." Applied Mathematics Letters 1, no. 3 (1988): 303–6. http://dx.doi.org/10.1016/0893-9659(88)90098-5.

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23

Límaco, Juan, Beatriz Souza Santos, and Mauro Antonio Rincon. "Electromagneto-elasticity system with moving boundary." Communications in Mathematical Sciences 17, no. 4 (2019): 899–919. http://dx.doi.org/10.4310/cms.2019.v17.n4.a2.

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24

Kim, Kunwoo, Carl Mueller, and Richard B. Sowers. "A stochastic moving boundary value problem." Illinois Journal of Mathematics 54, no. 3 (2010): 927–62. http://dx.doi.org/10.1215/ijm/1336049982.

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25

Zhang, Wei-Bin. "The Urbanization Process with Moving Boundary." Geographical Analysis 20, no. 4 (September 3, 2010): 328–39. http://dx.doi.org/10.1111/j.1538-4632.1988.tb00187.x.

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26

Acosta Minoli, Cesar A., and David A. Kopriva. "Boundary states at reflective moving boundaries." Journal of Computational Physics 231, no. 11 (June 2012): 4160–84. http://dx.doi.org/10.1016/j.jcp.2012.02.012.

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27

Kumar, Rajneesh, and Praveen Ailawalia. "Moving inclined load at boundary surface." Applied Mathematics and Mechanics 26, no. 4 (April 2005): 476–85. http://dx.doi.org/10.1007/bf02465387.

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28

Gugat, M. "Optimal boundary feedback stabilization of a string with moving boundary." IMA Journal of Mathematical Control and Information 25, no. 1 (March 10, 2007): 111–21. http://dx.doi.org/10.1093/imamci/dnm014.

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29

Liao, Chuan-Chieh, Yu-Wei Chang, Chao-An Lin, and J. M. McDonough. "Simulating flows with moving rigid boundary using immersed-boundary method." Computers & Fluids 39, no. 1 (January 2010): 152–67. http://dx.doi.org/10.1016/j.compfluid.2009.07.011.

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30

Sun, Zhixue, Xugang Yang, Yanxin Jin, Shubin Shi, and Minglu Wu. "Analysis of Pressure and Production Transient Characteristics of Composite Reservoir with Moving Boundary." Energies 13, no. 1 (December 19, 2019): 34. http://dx.doi.org/10.3390/en13010034.

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The mathematical model of composite reservoir has been widely used in well test analysis. In the process of oil recovery, due to the injection or replacement of the displacement agent, the model boundary can be moved. At present, the mathematical model of a composite reservoir with a moving boundary is less frequently studied and cannot meet industrial demand. In this paper, a mathematical model of a composite reservoir with a moving boundary is developed, with consideration of wellbore storage and skin effects. The characteristics of pressure transient in moving boundary composite reservoir are studied, and the influences of parameters, such as initial boundary radius, moving boundary velocity, skin factor, wellbore storage coefficient, diffusion coefficient ratio, and mobility ratio on pressure and production, are analyzed. The moving boundary effects are noticeable mainly in the middle and late production stages. The proposed model provides a novel theoretical basis for well test analysis in these types of reservoirs.

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31

Kanakadurga Devi, P., V. G. Naidu, K. Mamatha, and B. Naresh. "Free and Moving Boundary Problems of Heat and Mass Transfer." International Journal of Engineering & Technology 7, no. 3.27 (August 15, 2018): 18. http://dx.doi.org/10.14419/ijet.v7i3.27.17644.

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Bisection method is used to solve a moving boundary problem. This moving boundary problem was solved by the maze of mathematical manipulations by several authors. The method of using bisection is simple as compared to the lengthy mathematical manipulation of other methods. The procedure of the paper is useful in other moving boundary problems of heat and mass transfer, including boundary value problems involving ordinary differential equations with unknown interval length.

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32

Hubbard, M. E., M. J. Baines, and P. K. Jimack. "Consistent Dirichlet boundary conditions for numerical solution of moving boundary problems." Applied Numerical Mathematics 59, no. 6 (June 2009): 1337–53. http://dx.doi.org/10.1016/j.apnum.2008.08.002.

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33

De, Arnab Kr. "A diffuse interface immersed boundary method for complex moving boundary problems." Journal of Computational Physics 366 (August 2018): 226–51. http://dx.doi.org/10.1016/j.jcp.2018.04.008.

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34

Mintz, B., C. Farina, P. A. Maia Neto, and R. B. Rodrigues. "Particle creation by a moving boundary with a Robin boundary condition." Journal of Physics A: Mathematical and General 39, no. 36 (August 18, 2006): 11325–33. http://dx.doi.org/10.1088/0305-4470/39/36/013.

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35

Kimura, Masato. "Numerical analysis of moving boundary problems using the boundary tracking method." Japan Journal of Industrial and Applied Mathematics 14, no. 3 (October 1997): 373–98. http://dx.doi.org/10.1007/bf03167390.

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36

Meredith, D., and H. Rasmussen. "Boundary approximation methods for potential problems associated with moving boundary problems." Journal of Computational and Applied Mathematics 39, no. 2 (March 1992): 133–49. http://dx.doi.org/10.1016/0377-0427(92)90125-h.

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37

Quinn, Dennis W., Mark E. Oxley, and Donald C. Vosika. "The boundary element method applied to a moving free boundary problem." International Journal for Numerical Methods in Engineering 46, no. 8 (November 20, 1999): 1335–46. http://dx.doi.org/10.1002/(sici)1097-0207(19991120)46:8<1335::aid-nme757>3.0.co;2-9.

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38

Zhang, Zhi Neng, Wen Jia Jin, Shun Liang Jiang, and Shao Ping Xu. "Spring-Damping Model of Moving Boundary in SPH." Advanced Materials Research 557-559 (July 2012): 2288–93. http://dx.doi.org/10.4028/www.scientific.net/amr.557-559.2288.

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Traditional boundary force method of SPH applies Lennard-Jones equation to compute the virtual repulsive force by calculation of molecular force. But this method is strongly non-linear and easily leads to not convergence in calculation. In this paper, spring-damping boundary force model is utilized to solve the problem of moving boundary. Using spring-damping boundary force model, rotary moving boundary of screw channel-driven has been simulated and the result is well consistent with the simulation of Fluent. Comparing with traditional boundary force equation, this model is long-term stable and its effectiveness has been validated by case study.

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39

Lin, Tae-hoon, Bong-Hee Lee, Dae-Hee Cho, and Yong-Sik Cho. "Moving boundary condition for simulation of inundation." Journal of Korea Water Resources Association 36, no. 6 (December 1, 2003): 937–47. http://dx.doi.org/10.3741/jkwra.2003.36.6.937.

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40

Dumitrescu, H., and V. Cardos. "Moving-Wall Effect on Unsteady Boundary Layers." Journal of Aircraft 37, no. 2 (March 2000): 341–45. http://dx.doi.org/10.2514/2.2601.

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41

Tao, L. N. "A Method for Solving Moving Boundary Problems." SIAM Journal on Applied Mathematics 46, no. 2 (April 1986): 254–64. http://dx.doi.org/10.1137/0146018.

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42

Stolle, Dieter F. E. "Pore Pressure Development in Moving Boundary Problems." Soils and Foundations 29, no. 2 (June 1989): 141–45. http://dx.doi.org/10.3208/sandf1972.29.2_141.

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43

Lillo, S. De. "Moving boundary problems for the Burgers equation." Inverse Problems 14, no. 1 (February 1, 1998): L1—L4. http://dx.doi.org/10.1088/0266-5611/14/1/001.

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44

Kwon, O., Y. Kim, and C. Lee. "Berry's phase in a moving boundary problem." Journal of Physics A: Mathematical and General 25, no. 22 (November 21, 1992): 6113–21. http://dx.doi.org/10.1088/0305-4470/25/22/032.

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45

Toundykov, Daniel, and Jean-Paul Zolésio. "Stabilization of wave dynamics by moving boundary." Nonlinear Analysis: Real World Applications 39 (February 2018): 213–32. http://dx.doi.org/10.1016/j.nonrwa.2017.06.008.

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46

Prasad, R. S., and I. A. Svendsen. "Moving shoreline boundary condition for nearshore models." Coastal Engineering 49, no. 4 (October 2003): 239–61. http://dx.doi.org/10.1016/s0378-3839(03)00050-4.

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47

IMAMURA, Junya. "1107 Moving Boundary Analysis using Logit-Model." Proceedings of The Computational Mechanics Conference 2007.20 (2007): 685–86. http://dx.doi.org/10.1299/jsmecmd.2007.20.685.

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48

PROKERT, G. "Hyperbolic evolution equations for moving boundary problems." European Journal of Applied Mathematics 10, no. 6 (December 1999): 607–22. http://dx.doi.org/10.1017/s0956792599003836.

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49

Biondini, Gino, and Silvana De Lillo. "On the Burgers equation with moving boundary." Physics Letters A 279, no. 3-4 (January 2001): 194–206. http://dx.doi.org/10.1016/s0375-9601(00)00839-2.

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50

Asghar, S., T. Hayat, and A. M. Siddiqui. "Moving boundary in a non-Newtonian fluid." International Journal of Non-Linear Mechanics 37, no. 1 (January 2002): 75–80. http://dx.doi.org/10.1016/s0020-7462(00)00096-2.

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Journal articles on the topic 'Moving boundary'

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