The article proposes a simple C∞ interpolation of discretized lattice fields on regular and irregular grids. The method is based on localized C∞ but not analytic basis functions, which vanish outside an open set (region of influence). As a result, the interpolating fields at a point depend exclusively on the nodal values within the region of influence. The method can be applied to generic fields whose support is a limited set of n-dimensional space, starting from discretized values given on regular or irregular grids. Particular attention is focused on the interpolation of CFD-computed velocity fields that give rise to Lagrangian chaos. © 2002 Elsevier Science (USA).
C∞-interpolation of discrete fields on regular and irregular grids / Giona, Massimiliano; Cerbelli, Stefano. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 176:1(2002), pp. 145-169. [10.1006/jcph.2001.6972]
C∞-interpolation of discrete fields on regular and irregular grids
GIONA, Massimiliano;CERBELLI, Stefano
2002
Abstract
The article proposes a simple C∞ interpolation of discretized lattice fields on regular and irregular grids. The method is based on localized C∞ but not analytic basis functions, which vanish outside an open set (region of influence). As a result, the interpolating fields at a point depend exclusively on the nodal values within the region of influence. The method can be applied to generic fields whose support is a limited set of n-dimensional space, starting from discretized values given on regular or irregular grids. Particular attention is focused on the interpolation of CFD-computed velocity fields that give rise to Lagrangian chaos. © 2002 Elsevier Science (USA).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.