Numerical Methods

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1. Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. II. Numerical study.

   R Folch, J Casademunt, A Hernández-Machado, L Ramírez-Piscina in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (1999)

   We implement a phase-field simulation of the dynamics of two fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. We demonstrate the use of this technique in different situations including the linear regime, the stationary…

   Added 2011-11-28 8 readers
2. Sharp interface tracking using the phase-field equation

   Ying Sun, Christoph Beckermann in Journal of Computational Physics (2007)

   Added 2011-11-28 21 readers
3. The Approximate Solution of Various Boundary Problems by Surface Integration combined with Freehand Graphs

   L F Richardson in Proceedings of the Physical Society of London (1910)

   Added 2011-11-28 1 reader
4. The Deferred Approach to the Limit. Part I.—Single Lattice. Part II.—Interpenetrating Lattices

   Lewis Fry Richardson, J Arthur Gaunt in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (1927)

   Added 2011-11-28 6 readers
5. A PLIC–VOF method suited for adaptive moving grids

   Jure Mencinger, Iztok Žun in Journal of Computational Physics (2011)

   Added 2011-11-28 4 readers
6. Projection method for flows with large local density gradients: Application to dendritic solidification

   Juan C Heinrich, Udaya K Sajja, Sergio D Felicelli, D G Westra in International Journal for Numerical Methods in Fluids (2008)

   Added 2011-11-28 4 readers
7. A Freehand Graphic way of determining Stream Lines and Equipotentials

   Lewis Fry Richardson in Proceedings of the Physical Society of London (1907)

   Added 2011-11-28 1 reader
8. Numerical methods for improved efficiency in macrosegregation modeling

   Udaya K Sajja, Sergio D Felicelli, Juan C Heinrich in International Journal for Numerical Methods in Engineering (2011)

   Added 2011-11-28 3 readers
9. Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. I. Theoretical approach.

   R Folch, J Casademunt, A Hernández-Machado, L Ramírez-Piscina in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (1999)

   We present a phase-field model for the dynamics of the interface between two inmiscible fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. With asymptotic matching techniques we check the model to yield the right Hele-Shaw…

   Added 2011-11-28 11 readers
10. Sharp interface tracking using the phase-field equation

    Ying Sun, Christoph Beckermann in Journal of Computational Physics (2007)

    Added 2011-10-12
11. Projection method for flows with large local density gradients: Application to dendritic solidification

    Juan C Heinrich, Udaya K Sajja, Sergio D Felicelli, D G Westra in International Journal for Numerical Methods in Fluids (2008)

    Added 2011-10-12
12. Operator splitting for nonlinear reaction-diffusion systems with an entropic structure : singular perturbation and order reduction

    Stéphane Descombes, Marc Massot in Numerische Mathematik (2004)

    Added 2011-10-12 1 reader
13. A PLIC–VOF method suited for adaptive moving grids

    Jure Mencinger, Iztok Žun in Journal of Computational Physics (2011)

    Added 2011-10-12
14. On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients

    Stéphane Descombes, Thierry Dumont, Violaine Louvet, Marc Massot in International Journal of Computer Mathematics (2007)

    Added 2011-10-12
15. Numerical methods for improved efficiency in macrosegregation modeling

    Udaya K Sajja, Sergio D Felicelli, Juan C Heinrich in International Journal for Numerical Methods in Engineering (2011)

    Added 2011-10-12
16. Operator splitting for nonlinear reaction-diffusion systems with an entropic structure : singular perturbation and order reduction

    Stéphane Descombes, Marc Massot in Numerische Mathematik (2004)

    Added 2010-01-22 9 readers
17. On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients

    Stéphane Descombes, Thierry Dumont, Violaine Louvet, Marc Massot in International Journal of Computer Mathematics (2007)

    Added 2010-01-22 5 readers
18. Enthalpy-Porosity Technique for Modeling Convection-Diffusion Phase Change: Application to the Melting of a Pure Metal

    A D Brent, Vaughan R Voller, K J Reid in Numerical Heat Transfer (1988)

    Added 2009-10-16 11 readers
19. Numerical simulation of melting in two-dimensional cavity using adaptive grid

    Jure Mencinger in Journal of Computational Physics (2004)

    Added 2009-10-06 5 readers
20. Level Set Methods: An Act of Violence—Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Materials Sciences

    James A Sethian

    Added 2009-08-12 3 readers

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