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A Second Order Finite-Difference Ghost-Point Method for Elasticity Problems on Unbounded Domains with Applications to Volcanology

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Communications in Computational Physics 2014年第9期16卷 983-1009页

作者： Armando Coco Gilda Currenti Ciro Del Negro Giovanni Russo Dipartimento di Scienze della Terra e Geoambientali Universita di Bari Aldo MoroBariItaly. Bristol University Queens RoadBristol BS81RJUnited Kingdom. Istituto Nazionale di Geofisica e Vulcanologia Italy. Dipartimento di Matematica e Informatica Universita di CataniaCataniaItaly

We propose a finite-difference ghost-point approach for the numerical solution of cauchy-navier equations in linear elasticity problems on arbitrary unbounded *** technique is based on a smooth coordinate transformation,which maps an unbounded domain into a unit *** geometries are defined by suitable level-set *** equations are discretized by classical nine-point stencil on interior points,while boundary conditions and high order reconstructions are used to define the field variables at ghost-points,which are grid nodes external to the domain with a neighbor inside the *** linear system arising from such discretization is solved by a multigrid *** approach is then applied to solve elasticity problems in volcanology for computing the displacement caused by pressure *** method is suitable to treat problems in which the geometry of the source often changes(explore the effects of different scenarios,or solve inverse problems in which the geometry itself is part of the unknown),since it does not require complex re-meshing when the geometry is *** numerical tests are successfully performed,which asses the effectiveness of the present approach.

关键词： Linear elasticity cauchy-navier equations ground deformation unbounded domain coordinate transformation method Cartesian grid ghost points level-set methods multigrid.

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