Spectral/hp element methods: Recent developments, applications, and perspectives
The spectral/hp element method combines the geometric flexibility of the classical h-type
finite element technique with the desirable numerical properties of spectral methods …
finite element technique with the desirable numerical properties of spectral methods …
[書籍][B] Computational fluid mechanics and heat transfer
D Anderson, JC Tannehill, RH Pletcher, R Munipalli… - 2020 - taylorfrancis.com
Computational Fluid Mechanics and Heat Transfer, Fourth Edition is a fully updated version
of the classic text on finite-difference and finite-volume computational methods. Divided into …
of the classic text on finite-difference and finite-volume computational methods. Divided into …
3d Bézier guarding: boundary-conforming curved tetrahedral meshing
We present a method for the generation of higher-order tetrahedral meshes. In contrast to
previous methods, the curved tetrahedral elements are guaranteed to be free of …
previous methods, the curved tetrahedral elements are guaranteed to be free of …
TriWild: robust triangulation with curve constraints
We propose a robust 2D meshing algorithm, TriWild, to generate curved triangles
reproducing smooth feature curves, leading to coarse meshes designed to match the …
reproducing smooth feature curves, leading to coarse meshes designed to match the …
[HTML][HTML] Curvilinear mesh generation using a variational framework
We aim to tackle the challenge of generating unstructured high-order meshes of complex
three-dimensional bodies, which remains a significant bottleneck in the wider adoption of …
three-dimensional bodies, which remains a significant bottleneck in the wider adoption of …
Bijective and coarse high-order tetrahedral meshes
We introduce a robust and automatic algorithm to convert linear triangle meshes with feature
annotated into coarse tetrahedral meshes with curved elements. Our construction …
annotated into coarse tetrahedral meshes with curved elements. Our construction …
Generation of curved high-order meshes with optimal quality and geometric accuracy
We present a novel methodology to generate curved high-order meshes featuring optimal
mesh quality and geometric accuracy. The proposed technique combines a distortion …
mesh quality and geometric accuracy. The proposed technique combines a distortion …
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
In this work we propose a simple but effective high order polynomial correction allowing to
enhance the consistency of all kind of boundary conditions for the Euler equations (Dirichlet …
enhance the consistency of all kind of boundary conditions for the Euler equations (Dirichlet …
High-order mesh curving using WCN mesh optimization
Finite-Element Methods (FEM) for Computational Fluid Dynamics (CFD) simulations are
increasing in popularity. One reason is the ease with which higher order accurate solutions …
increasing in popularity. One reason is the ease with which higher order accurate solutions …
Efficient matrix-free high-order finite element evaluation for simplicial elements
With the gap between processor clock speeds and memory bandwidth speeds continuing to
increase, the use of arithmetically intense schemes, such as high-order finite element …
increase, the use of arithmetically intense schemes, such as high-order finite element …