Group Theoretic Methods and Similarity Solutions of the Savage-Hutter Equations

Vladimir Chugunov; John Mark Nicholas Timm Gray; Kolumban Hutter

Group Theoretic Methods and Similarity Solutions of the Savage-Hutter Equations

Vladimir Chugunov, John Mark Nicholas Timm Gray, Kolumban Hutter

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the spatially one-dimensional time dependent system of equations, obtained by Savage and Hutter, which describes the gravity-driven free surface flow of granular avalanches. All similarity solutions of this system are found by means of group analysis. The family of solutions which are invariant to stretching transformations is investigated in greater detail. Explicit solutions are constructed in three cases and their physical interpretation is given. © Springer-Verlag Berlin Heidelberg 2003.

Original language	English
Pages (from-to)	251-261
Number of pages	10
Journal	Lecture Notes in Applied and Computational Mechanics
Volume	11
Publication status	Published - 2003

Cite this

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title = "Group Theoretic Methods and Similarity Solutions of the Savage-Hutter Equations",

abstract = "We consider the spatially one-dimensional time dependent system of equations, obtained by Savage and Hutter, which describes the gravity-driven free surface flow of granular avalanches. All similarity solutions of this system are found by means of group analysis. The family of solutions which are invariant to stretching transformations is investigated in greater detail. Explicit solutions are constructed in three cases and their physical interpretation is given. {\textcopyright} Springer-Verlag Berlin Heidelberg 2003.",

author = "Vladimir Chugunov and Gray, {John Mark Nicholas Timm} and Kolumban Hutter",

year = "2003",

language = "English",

volume = "11",

pages = "251--261",

journal = "Lecture Notes in Applied and Computational Mechanics",

issn = "1613-7736",

publisher = "Springer Nature",

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T1 - Group Theoretic Methods and Similarity Solutions of the Savage-Hutter Equations

AU - Chugunov, Vladimir

AU - Gray, John Mark Nicholas Timm

AU - Hutter, Kolumban

PY - 2003

Y1 - 2003

N2 - We consider the spatially one-dimensional time dependent system of equations, obtained by Savage and Hutter, which describes the gravity-driven free surface flow of granular avalanches. All similarity solutions of this system are found by means of group analysis. The family of solutions which are invariant to stretching transformations is investigated in greater detail. Explicit solutions are constructed in three cases and their physical interpretation is given. © Springer-Verlag Berlin Heidelberg 2003.

AB - We consider the spatially one-dimensional time dependent system of equations, obtained by Savage and Hutter, which describes the gravity-driven free surface flow of granular avalanches. All similarity solutions of this system are found by means of group analysis. The family of solutions which are invariant to stretching transformations is investigated in greater detail. Explicit solutions are constructed in three cases and their physical interpretation is given. © Springer-Verlag Berlin Heidelberg 2003.

M3 - Article

SN - 1613-7736

VL - 11

SP - 251

EP - 261

JO - Lecture Notes in Applied and Computational Mechanics

JF - Lecture Notes in Applied and Computational Mechanics

ER -

Group Theoretic Methods and Similarity Solutions of the Savage-Hutter Equations

Abstract

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