Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)

K. Kumar; I.S. Pop; F.A. Radu

doi:10.1007/978-3-642-33134-3_74

Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)

K. Kumar
, I.S. Pop
, F.A. Radu

Center for Analysis, Scientific Computing and Applications

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011)
Editors	A. Cangiani, R.L. Davidchack, E. Georgoulis, A.N. Gorban, J. Levesley, M.V. Tretyakov
Place of Publication	Berlin
Publisher	Springer
Pages	703-711
ISBN (Print)	978-3-642-33133-6
DOIs	https://doi.org/10.1007/978-3-642-33134-3_74
Publication status	Published - 2011
Event	European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2011 - University of Leicester, Leicester, United Kingdom Duration: 5 Sept 2011 → 9 Sept 2011 Conference number: 9

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications
Abbreviated title	ENUMATH 2011
Country/Territory	United Kingdom
City	Leicester
Period	5/09/11 → 9/09/11

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10.1007/978-3-642-33134-3_74

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Kumar, K., Pop, I. S., & Radu, F. A. (2011). Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). In A. Cangiani, R. L. Davidchack, E. Georgoulis, A. N. Gorban, J. Levesley, & M. V. Tretyakov (Eds.), Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011) (pp. 703-711). Springer. https://doi.org/10.1007/978-3-642-33134-3_74

Kumar, K. ; Pop, I.S. ; Radu, F.A. / Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011). editor / A. Cangiani ; R.L. Davidchack ; E. Georgoulis ; A.N. Gorban ; J. Levesley ; M.V. Tretyakov. Berlin : Springer, 2011. pp. 703-711

@inproceedings{30804fcc462048fba2412f568ab7b6dd,

title = "Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)",

abstract = "In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.",

author = "K. Kumar and I.S. Pop and F.A. Radu",

year = "2011",

doi = "10.1007/978-3-642-33134-3\_74",

language = "English",

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editor = "A. Cangiani and R.L. Davidchack and E. Georgoulis and A.N. Gorban and J. Levesley and M.V. Tretyakov",

booktitle = "Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011)",

publisher = "Springer",

address = "Germany",

note = "European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2011, ENUMATH 2011 ; Conference date: 05-09-2011 Through 09-09-2011",

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Kumar, K, Pop, IS & Radu, FA 2011, Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). in A Cangiani, RL Davidchack, E Georgoulis, AN Gorban, J Levesley & MV Tretyakov (eds), Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011). Springer, Berlin, pp. 703-711, European Conference on Numerical Mathematics and Advanced Applications , Leicester, United Kingdom, 5/09/11. https://doi.org/10.1007/978-3-642-33134-3_74

Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). / Kumar, K.; Pop, I.S.; Radu, F.A.
Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011). ed. / A. Cangiani; R.L. Davidchack; E. Georgoulis; A.N. Gorban; J. Levesley; M.V. Tretyakov. Berlin: Springer, 2011. p. 703-711.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Kumar, K.

AU - Pop, I.S.

AU - Radu, F.A.

N1 - Conference code: 9

PY - 2011

Y1 - 2011

N2 - In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.

AB - In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.

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DO - 10.1007/978-3-642-33134-3_74

M3 - Conference contribution

SN - 978-3-642-33133-6

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EP - 711

BT - Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011)

A2 - Cangiani, A.

A2 - Davidchack, R.L.

A2 - Georgoulis, E.

A2 - Gorban, A.N.

A2 - Levesley, J.

A2 - Tretyakov, M.V.

PB - Springer

CY - Berlin

T2 - European Conference on Numerical Mathematics and Advanced Applications

Y2 - 5 September 2011 through 9 September 2011

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Kumar K, Pop IS, Radu FA. Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9). In Cangiani A, Davidchack RL, Georgoulis E, Gorban AN, Levesley J, Tretyakov MV, editors, Numerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011). Berlin: Springer. 2011. p. 703-711 doi: 10.1007/978-3-642-33134-3_74

Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)

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