TY - JOUR
T1 - A POD-selective inverse distance weighting method for fast parametrized shape morphing
AU - Ballarin, Francesco
AU - D'Amario, Alessandro
AU - Perotto, Simona
AU - Rozza, Gianluigi
PY - 2019
Y1 - 2019
N2 - Efficient shape morphing techniques play a crucial role in the approximation of partial differential equations defined in parametrized domains, such as for fluid-structure interaction or shape optimization problems. In this paper, we focus on inverse distance weighting (IDW) interpolation techniques, where a reference domain is morphed into a deformed one via the displacement of a set of control points. We aim at reducing the computational burden characterizing a standard IDW approach without significantly compromising the accuracy. To this aim, first we propose an improvement of IDW based on a geometric criterion that automatically selects a subset of the original set of control points. Then, we combine this new approach with a dimensionality reduction technique based on a proper orthogonal decomposition of the set of admissible displacements. This choice further reduces computational costs. We verify the performances of the new IDW techniques on several tests by investigating the trade-off reached in terms of accuracy and efficiency.
AB - Efficient shape morphing techniques play a crucial role in the approximation of partial differential equations defined in parametrized domains, such as for fluid-structure interaction or shape optimization problems. In this paper, we focus on inverse distance weighting (IDW) interpolation techniques, where a reference domain is morphed into a deformed one via the displacement of a set of control points. We aim at reducing the computational burden characterizing a standard IDW approach without significantly compromising the accuracy. To this aim, first we propose an improvement of IDW based on a geometric criterion that automatically selects a subset of the original set of control points. Then, we combine this new approach with a dimensionality reduction technique based on a proper orthogonal decomposition of the set of admissible displacements. This choice further reduces computational costs. We verify the performances of the new IDW techniques on several tests by investigating the trade-off reached in terms of accuracy and efficiency.
KW - inverse distance weighting
KW - proper orthogonal decomposition
KW - shape morphing
KW - inverse distance weighting
KW - proper orthogonal decomposition
KW - shape morphing
UR - http://hdl.handle.net/10807/174172
U2 - 10.1002/nme.5982
DO - 10.1002/nme.5982
M3 - Article
SN - 0029-5981
VL - 117
SP - 860
EP - 884
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
ER -