TY - JOUR
T1 - Isogeometric high order mesh generation
AU - Schneider, Teseo
AU - Panozzo, Daniele
AU - Zhou, Xianlian
N1 - Funding Information:
We would like to thank Dr. H.Q. Yang for providing us the 2D and 3D turbine blade meshes. This work was partially supported by a funded project through US DOD Contract W911NF-20-P-0008. It was also partially supported by the NSF CAREER, USA award 1652515, the National Science Foundation, USA grants IIS-1320635, OAC-1835712, OIA-1937043, CHS-1908767, CHS-1901091, NSERC DGECR-2021-00461, a gift from Adobe Research, a gift from nTopology, and a gift from Advanced Micro Devices, Inc. In addition, this work is also supported by the New York University IT High Performance Computing resources, services, and staff expertise.
Funding Information:
We would like to thank Dr. H.Q. Yang for providing us the 2D and 3D turbine blade meshes. This work was partially supported by a funded project through US DOD Contract W911NF-20-P-0008 . It was also partially supported by the NSF CAREER, USA award 1652515 , the National Science Foundation, USA grants IIS-1320635 , OAC-1835712 , OIA-1937043 , CHS-1908767 , CHS-1901091 , NSERC DGECR-2021-00461 , a gift from Adobe Research, a gift from nTopology, and a gift from Advanced Micro Devices, Inc. In addition, this work is also supported by the New York University IT High Performance Computing resources, services, and staff expertise.
Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2021/12/1
Y1 - 2021/12/1
N2 - In this paper, we present a new posteriori method to generate high order curved meshes directly from linear meshes through a recently developed poly-spline isogeometric (IGA) method. Given an input structured or unstructured linear quadrilateral or hexahedral mesh, our method constructs quadratic poly-spline IGA bases for each element and ensures continuity and smoothness across neighboring elements. With these smooth IGA bases, each element can be sampled into a high order element of arbitrary order while maintaining consistently continuous and smooth interfaces between elements. Several fitting algorithms are developed to adjust the IGA control points to ensure the final mesh interpolates or approximates the initial boundary closely. Our method requires no CAD geometry of the initial mesh and guarantee C1 smoothness in regular regions and C0 continuity across interfaces of spline-incompatible elements. The method is compared with an elastic analogy based approach and is shown to be superior in terms of computational performance and overall mesh quality and smoothness. The current method can also be extended for higher order IGA basis construction and smooth refinement of meshes that are important for high order physics simulations.
AB - In this paper, we present a new posteriori method to generate high order curved meshes directly from linear meshes through a recently developed poly-spline isogeometric (IGA) method. Given an input structured or unstructured linear quadrilateral or hexahedral mesh, our method constructs quadratic poly-spline IGA bases for each element and ensures continuity and smoothness across neighboring elements. With these smooth IGA bases, each element can be sampled into a high order element of arbitrary order while maintaining consistently continuous and smooth interfaces between elements. Several fitting algorithms are developed to adjust the IGA control points to ensure the final mesh interpolates or approximates the initial boundary closely. Our method requires no CAD geometry of the initial mesh and guarantee C1 smoothness in regular regions and C0 continuity across interfaces of spline-incompatible elements. The method is compared with an elastic analogy based approach and is shown to be superior in terms of computational performance and overall mesh quality and smoothness. The current method can also be extended for higher order IGA basis construction and smooth refinement of meshes that are important for high order physics simulations.
KW - Elastic analogy
KW - High order mesh generation
KW - Isogeometric analysis
KW - Poly-spline finite element method
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U2 - 10.1016/j.cma.2021.114104
DO - 10.1016/j.cma.2021.114104
M3 - Article
AN - SCOPUS:85113377167
SN - 0374-2830
VL - 386
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
M1 - 114104
ER -