Journal ArticleDOI
A fast mesh deformation method using explicit interpolation
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TLDR
A novel mesh deformation algorithm for unstructured polyhedral meshes is developed utilizing a tree-code optimization of a simple direct interpolation method, shown to provide mesh quality that is competitive with radial basis function based methods, with markedly better performance in preserving boundary layer orthogonality in viscous meshes.About:
This article is published in Journal of Computational Physics.The article was published on 2012-01-01. It has received 196 citations till now. The article focuses on the topics: Volume mesh & T-vertices.read more
Citations
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Effective adjoint approaches for computational fluid dynamics
TL;DR: The Jacobian-free method using source code transformation algorithmic differentiation to compute the partial derivatives is the best option because it computes exact derivatives with the lowest CPU time and the lowest memory requirements, and it also scales well up to 10 million cells and over one thousand CPU cores.
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Robust aerodynamic shape optimization—From a circle to an airfoil
TL;DR: The combination of flow solver robustness, precision of gradient information, robust mesh deformation, and adaptive parametrization brings us closer to a “push-button” solution for airfoil design.
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Buffet-Onset Constraint Formulation for Aerodynamic Shape Optimization
TL;DR: High-fidelity computational modeling and optimization of aircraft configurations have the potential to enable engineers to create more efficient designs that require fewer unforeseen modifications.
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An aerodynamic design optimization framework using a discrete adjoint approach with OpenFOAM
TL;DR: An optimization framework that consists of an efficient discrete adjoint implementation for computing derivatives and a Python interface to multiple numerical optimization packages is developed and validated, demonstrating that the developed techniques have the potential to be a useful tool in a wide range of engineering design applications.
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A changing-topology moving mesh technique for large displacements
TL;DR: Numerically, it is demonstrated numerically that moving three-dimensional complex geometries with large displacements is feasible using only vertex displacements and mesh-connectivity changes, which presents several advantages over usual techniques for which the number of vertices varies in time.
References
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Journal ArticleDOI
A fast algorithm for particle simulations
TL;DR: An algorithm is presented for the rapid evaluation of the potential and force fields in systems involving large numbers of particles whose interactions are Coulombic or gravitational in nature, making it considerably more practical for large-scale problems encountered in plasma physics, fluid dynamics, molecular dynamics, and celestial mechanics.
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A hierarchical O(N log N) force-calculation algorithm
Josh Barnes,Piet Hut +1 more
TL;DR: A novel method of directly calculating the force on N bodies that grows only as N log N is described, using a tree-structured hierarchical subdivision of space into cubic cells, each is recursively divided into eight subcells whenever more than one particle is found to occupy the same cell.
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A Hierarchical O(N) Force Calculation Algorithm
TL;DR: A novel code for the approximate computation of long-range forces between N mutually interacting bodies based on a hierarchical tree of cubic cells and features mutual cell–cell interactions which are calculated via a Cartesian Taylor expansion in a symmetric way, such that total momentum is conserved.
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Mesh deformation based on radial basis function interpolation
TL;DR: A new mesh movement algorithm for unstructured grids is developed which is based on interpolating displacements of the boundary nodes to the whole mesh with radial basis functions (RBF's), which can handle large mesh deformations caused by translations, rotations and deformations.
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Torsional springs for two-dimensional dynamic unstructured fluid meshes
TL;DR: In this paper, the authors proposed a method to control the arbitrary motion of two-dimensional dynamic unstructured fluid grids with additional torsional springs, which can be designed to prevent the interpenetration of neighboring triangles.