UnivTrevesV1, PascalFrancis, Corpus, bibRecord, 001464

Analytical modeling of glacier dynamics

Identifieur interne : 001464 ( PascalFrancis/Corpus ); précédent : 001463; suivant : 001465

Analytical modeling of glacier dynamics

Auteurs : D. B. Bahr

Source :

Mathematical geology [ 0882-8121 ] ; 1996.

RBID : Pascal:96-0201424

Descripteurs français

Pascal (Inist)
- Glacier, Méthode numérique, Lit glaciaire, Distribution vitesse, Distribution contrainte, Problème inverse, Série entière, Convergence numérique.

English descriptors

KwdEn :
- Glacier, Glacier bed, Inverse problem, Numerical convergence, Numerical method, Power series, Stress distribution, Velocity distribution.

Abstract

Flow velocities and stresses within a glacier are determined by inverting known surface velocities with a specified glacier geometry. The surface velocities depend only weakly on the unknown velocities at the bed ofa glacier, so the inversion is ill-posed and unstable. This instability causes both numerical computation errors and data errors to grow dramatically with depth, usually masking the actual velocity and stress solutions. To control the numerical errors, an analytical modeling scheme is presented which modifies the method of mean weighted residuals (used in finite element techniques). The resulting scheme impairs convergence by producing power-series solutions, but in an advantageous trade-off, the coefficients to the power series can be determined analytically rather than numerically. This leads to arbitrary order analytical power-series solutions to the internal stress state of glaciers. The symbolic power-series solutions can be evaluated at any point in the glacier with negligible round-off and discretization errors. Analytical model accuracy is confirmed with known stress solutions for several widely used constitutive relations for ice.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

A01	`01`	`1`		`@0 0882-8121`
A02	`01`			`@0 MATGED`
A03		`1`		`@0 Math. geol.`
A05				`@2 28`
A06				`@2 2`
A08	`01`	`1`	`ENG`	`@1 Analytical modeling of glacier dynamics`
A09	`01`	`1`	`ENG`	`@1 Inverse theory in the earth sciences`
A11	`01`	`1`		`@1 BAHR (D. B.)`
A12	`01`	`1`		`@1 HERZFELD (Ute Christina) @9 ed.`
A14	`01`			`@1 Institute of Arctic and Alpine Research, University of Colorado @2 Boulder, Colorado 80309-0216 @3 USA @Z 1 aut.`
A15	`01`			`@1 FB VI Quantitative Methoden in den Geowissenschaften, Universität Trier @2 54286 Trier @3 DEU @Z 1 aut.`
A15	`02`			`@1 Institute of Arctic and Alpine Research, University of Colorado Boulder @2 Boulder, Colorado 80309-0450 @3 USA @Z 1 aut.`
A20				`@1 229-251`
A21				`@1 1996`
A23	`01`			`@0 ENG`
A43	`01`			`@1 INIST @2 14907 @5 354000053329610050`
A44				`@0 0000`
A45				`@0 18 ref.`
A47	`01`	`1`		`@0 96-0201424`
A60				`@1 P`
A61				`@0 A`
A64	`01`	`1`		`@0 Mathematical geology`
A66	`01`			`@0 USA`
C01	`01`		`ENG`	@0 Flow velocities and stresses within a glacier are determined by inverting known surface velocities with a specified glacier geometry. The surface velocities depend only weakly on the unknown velocities at the bed ofa glacier, so the inversion is ill-posed and unstable. This instability causes both numerical computation errors and data errors to grow dramatically with depth, usually masking the actual velocity and stress solutions. To control the numerical errors, an analytical modeling scheme is presented which modifies the method of mean weighted residuals (used in finite element techniques). The resulting scheme impairs convergence by producing power-series solutions, but in an advantageous trade-off, the coefficients to the power series can be determined analytically rather than numerically. This leads to arbitrary order analytical power-series solutions to the internal stress state of glaciers. The symbolic power-series solutions can be evaluated at any point in the glacier with negligible round-off and discretization errors. Analytical model accuracy is confirmed with known stress solutions for several widely used constitutive relations for ice.
C02	`01`	`X`		`@0 001E02C`
C03	`01`	`X`	`FRE`	`@0 Glacier @5 26`
C03	`01`	`X`	`ENG`	`@0 Glacier @5 26`
C03	`01`	`X`	`SPA`	`@0 Glaciar @5 26`
C03	`02`	`X`	`FRE`	`@0 Méthode numérique @5 27`
C03	`02`	`X`	`ENG`	`@0 Numerical method @5 27`
C03	`02`	`X`	`SPA`	`@0 Método numérico @5 27`
C03	`03`	`X`	`FRE`	`@0 Lit glaciaire @5 28`
C03	`03`	`X`	`ENG`	`@0 Glacier bed @5 28`
C03	`03`	`X`	`SPA`	`@0 Lecho glaciar @5 28`
C03	`04`	`X`	`FRE`	`@0 Distribution vitesse @5 29`
C03	`04`	`X`	`ENG`	`@0 Velocity distribution @5 29`
C03	`04`	`X`	`SPA`	`@0 Distribución velocidad @5 29`
C03	`05`	`X`	`FRE`	`@0 Distribution contrainte @5 30`
C03	`05`	`X`	`ENG`	`@0 Stress distribution @5 30`
C03	`05`	`X`	`GER`	`@0 Mechanisches Spannungsfeld @5 30`
C03	`05`	`X`	`SPA`	`@0 Campo restricción @5 30`
C03	`06`	`X`	`FRE`	`@0 Problème inverse @5 31`
C03	`06`	`X`	`ENG`	`@0 Inverse problem @5 31`
C03	`06`	`X`	`SPA`	`@0 Problema inverso @5 31`
C03	`07`	`X`	`FRE`	`@0 Série entière @5 32`
C03	`07`	`X`	`ENG`	`@0 Power series @5 32`
C03	`07`	`X`	`SPA`	`@0 Serie potencias @5 32`
C03	`08`	`X`	`FRE`	`@0 Convergence numérique @5 33`
C03	`08`	`X`	`ENG`	`@0 Numerical convergence @5 33`
C03	`08`	`X`	`SPA`	`@0 Convergencia numérica @5 33`
N21				`@1 134`

Format Inist (serveur)

NO :	PASCAL 96-0201424 INIST
ET :	Analytical modeling of glacier dynamics
AU :	BAHR (D. B.); HERZFELD (Ute Christina)
AF :	Institute of Arctic and Alpine Research, University of Colorado/Boulder, Colorado 80309-0216/Etats-Unis (1 aut.); FB VI Quantitative Methoden in den Geowissenschaften, Universität Trier/54286 Trier/Allemagne (1 aut.); Institute of Arctic and Alpine Research, University of Colorado Boulder/Boulder, Colorado 80309-0450/Etats-Unis (1 aut.)
DT :	Publication en série; Niveau analytique
SO :	Mathematical geology; ISSN 0882-8121; Coden MATGED; Etats-Unis; Da. 1996; Vol. 28; No. 2; Pp. 229-251; Bibl. 18 ref.
LA :	Anglais
EA :	Flow velocities and stresses within a glacier are determined by inverting known surface velocities with a specified glacier geometry. The surface velocities depend only weakly on the unknown velocities at the bed ofa glacier, so the inversion is ill-posed and unstable. This instability causes both numerical computation errors and data errors to grow dramatically with depth, usually masking the actual velocity and stress solutions. To control the numerical errors, an analytical modeling scheme is presented which modifies the method of mean weighted residuals (used in finite element techniques). The resulting scheme impairs convergence by producing power-series solutions, but in an advantageous trade-off, the coefficients to the power series can be determined analytically rather than numerically. This leads to arbitrary order analytical power-series solutions to the internal stress state of glaciers. The symbolic power-series solutions can be evaluated at any point in the glacier with negligible round-off and discretization errors. Analytical model accuracy is confirmed with known stress solutions for several widely used constitutive relations for ice.
CC :	001E02C
FD :	Glacier; Méthode numérique; Lit glaciaire; Distribution vitesse; Distribution contrainte; Problème inverse; Série entière; Convergence numérique
ED :	Glacier; Numerical method; Glacier bed; Velocity distribution; Stress distribution; Inverse problem; Power series; Numerical convergence
GD :	Mechanisches Spannungsfeld
SD :	Glaciar; Método numérico; Lecho glaciar; Distribución velocidad; Campo restricción; Problema inverso; Serie potencias; Convergencia numérica
LO :	INIST-14907.354000053329610050
ID :	96-0201424

Links to Exploration step

Pascal:96-0201424

Le document en format XML

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<front><div type="abstract" xml:lang="en">Flow velocities and stresses within a glacier are determined by inverting known surface velocities with a specified glacier geometry. The surface velocities depend only weakly on the unknown velocities at the bed ofa glacier, so the inversion is ill-posed and unstable. This instability causes both numerical computation errors and data errors to grow dramatically with depth, usually masking the actual velocity and stress solutions. To control the numerical errors, an analytical modeling scheme is presented which modifies the method of mean weighted residuals (used in finite element techniques). The resulting scheme impairs convergence by producing power-series solutions, but in an advantageous trade-off, the coefficients to the power series can be determined analytically rather than numerically. This leads to arbitrary order analytical power-series solutions to the internal stress state of glaciers. The symbolic power-series solutions can be evaluated at any point in the glacier with negligible round-off and discretization errors. Analytical model accuracy is confirmed with known stress solutions for several widely used constitutive relations for ice.</div>
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<ET>Analytical modeling of glacier dynamics</ET>
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<EA>Flow velocities and stresses within a glacier are determined by inverting known surface velocities with a specified glacier geometry. The surface velocities depend only weakly on the unknown velocities at the bed ofa glacier, so the inversion is ill-posed and unstable. This instability causes both numerical computation errors and data errors to grow dramatically with depth, usually masking the actual velocity and stress solutions. To control the numerical errors, an analytical modeling scheme is presented which modifies the method of mean weighted residuals (used in finite element techniques). The resulting scheme impairs convergence by producing power-series solutions, but in an advantageous trade-off, the coefficients to the power series can be determined analytically rather than numerically. This leads to arbitrary order analytical power-series solutions to the internal stress state of glaciers. The symbolic power-series solutions can be evaluated at any point in the glacier with negligible round-off and discretization errors. Analytical model accuracy is confirmed with known stress solutions for several widely used constitutive relations for ice.</EA>
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Analytical modeling of glacier dynamics

Analytical modeling of glacier dynamics

Source :

Descripteurs français

English descriptors

Abstract

Notice en format standard (ISO 2709)

Format Inist (serveur)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri