Conservative interpolation between volume meshes by local Galerkin projection
نویسنده
چکیده
The problem of interpolating between discrete fields arises frequently in computational physics. The obvious approach, consistent interpolation, has several drawbacks such as suboptimality, non-conservation, and unsuitability for use with discontinuous discretisations. An alternative, Galerkin projection, remedies these deficiencies; however, its implementation has proven very challenging. This paper presents an algorithm for the local implementation of Galerkin projection of discrete fields between meshes. This algorithm extends naturally to three dimensions and is very efficient. 2010 Elsevier B.V. All rights reserved.
منابع مشابه
Local projection stabilisation on layer-adapted meshes for convection-diffusion problems with characteristic layers (Part I and II)
For a singularly perturbed convection-diffusion problem with exponential and characteristic boundary layers on the unit square a discretisation based on layer-adapted meshes is considered. The standard Galerkin method and the local projection scheme are analysed for a general class of higher order finite elements based on local polynomial spaces lying between Pp and Qp. We will present two diff...
متن کاملNonconforming H-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations
Based on H-Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral meshes. The corresponding optimal order error estimate is derived by the interpolation technique instead of the generalized elliptic projection which is necessary for classical error estimates of fini...
متن کاملFailsafe flux limiting and constrained data projections for systems of conservation laws
A new approach to flux limiting for systems of conservation laws is presented. The Galerkin finite element discretization / L2 projection is equipped with a failsafe mechanism that prevents the birth and growth of spurious local extrema. Within the framework of a synchronized flux-corrected transport (FCT) algorithm, the velocity and pressure fields are constrained using node-by-node transforma...
متن کاملFailsafe flux limiting and constrained data projections for equations of gas dynamics
A new approach to flux limiting for systems of conservation laws is presented. The Galerkin finite element discretization / L2 projection is equipped with a failsafe mechanism that prevents the birth and growth of spurious local extrema. Within the framework of a synchronized flux-corrected transport (FCT) algorithm, the velocity and pressure fields are constrained using node-by-node transforma...
متن کاملConservative model reduction for finite-volume models
This work proposes a method for model reduction of finite-volume models that guarantees the resulting reduced-order model is conservative, thereby preserving the structure intrinsic to finite-volume discretizations. The proposed reduced-order models associate with optimization problems characterized by a minimum-residual objective function and nonlinear equality constraints that explicitly enfo...
متن کامل