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The lattice Boltzmann method has become a widely adopted approach in computational fluid dynamics, offering unique advantages in mesoscopic kinetic modeling, intrinsic parallelism, and simple treatment of boundary conditions. However, its…

数值分析 · 数学 2025-09-16 Ye Ji , Monica Lacatus , Matthias Möller

We present an algorithm for fast generation of quasi-uniform and variable-spacing nodes on domains whose boundaries are represented as computer-aided design (CAD) models, more specifically non-uniform rational B-splines (NURBS). This new…

数值分析 · 数学 2024-07-04 Urban Duh , Varun Shankar , Gregor Kosec

Non Uniform Rational B-spline (NURBS) patches are a standard way to describe complex geometries in Computer Aided Design tools, and have gained a lot of popularity in recent years also for the approximation of partial differential…

数值分析 · 数学 2018-07-04 Giuseppe Pitton , Luca Heltai

We propose a novel approach to the analysis of programmable geometrically exact shear deformable beam systems made of shape memory polymers. The proposed method combines the viscoelastic Generalized Maxwell model with the Williams, Landel…

计算工程、金融与科学 · 计算机科学 2025-03-11 Giulio Ferri , Enzo Marino

One of the important aspects of IsoGeometric Analysis (IGA) is the strong link between Computer Aided Design and analysis. Two of IGA'a major challenge are the assembly of patches (Constructive Solid Geometry geometries made of Boolean…

数值分析 · 数学 2015-02-13 Michel Bercovier , Ilya Soloveichik

In this contribution, we provide a new mass lumping scheme for explicit dynamics in isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual functionals is developed. Non-Uniform Rational B-splines (NURBS)…

计算工程、金融与科学 · 计算机科学 2024-04-18 Susanne Held , Sascha Eisenträger , Wolfgang Dornisch

A novel and effective formulation that combines the eXtended IsoGeometric Approach (XIGA) and Higher-order Shear Deformation Theory (HSDT) is proposed to study the free vibration of cracked Functionally Graded Material (FGM) plates. Herein,…

计算工程、金融与科学 · 计算机科学 2014-03-04 Loc V. Tran , Vinh Phu Nguyen , M. Abdel Wahab , H. Nguyen-Xuan

The effect of higher order continuity in the solution field by using NURBS basis function in isogeometric analysis (IGA) is investigated for an efficient mixed finite element formulation for elastostatic beams. It is based on the Hu-Washizu…

数值分析 · 数学 2023-09-08 Myung-Jin Choi , Roger A. Sauer , Sven Klinkel

This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by…

计算工程、金融与科学 · 计算机科学 2019-02-07 N. Vu-Bac , T. X. Duong , T. Lahmer , X. Zhuang , R. A. Sauer , H. S. Parke , T. Rabczuk

This paper presents a general non-linear computational formulation for rotation-free thin shells based on isogeometric finite elements. It is a displacement-based formulation that admits general material models. The formulation allows for a…

计算工程、金融与科学 · 计算机科学 2025-01-10 Thang Xuan Duong , Farshad Roohbakhshan , Roger Andrew Sauer

We compare convergence of isogeometric analysis (IGA), a spline modification of finite element method (FEM), with FEM in the context of our real space code for ab-initio electronic structure calculations of non-periodic systems. The…

计算物理 · 物理学 2021-01-07 Robert Cimrman , Matyáš Novák , Radek Kolman , Miroslav Tůma , Jiří Vackář

Designs generated by density-based topology optimization (TO) exhibit jagged and/or smeared boundaries, which forms an obstacle to their integration with existing CAD tools. Addressing this problem by smoothing or manual design adjustments…

计算工程、金融与科学 · 计算机科学 2020-04-14 Marco K. Swierstra , Deepak K. Gupta , Matthijs Langelaar

We present an approximately $C^1$-smooth multi-patch spline construction which can be used in isogeometric analysis (IGA). A key property of IGA is that it is simple to achieve high order smoothness within a single patch. To represent more…

数值分析 · 数学 2022-10-12 Pascal Weinmüller , Thomas Takacs

This work focuses on an efficient stress recovery procedure for laminated composite curved structures, which relies on Isogeometric Analysis (IGA) and equilibrium. Using a single element through the thickness in combination with a…

数值分析 · 数学 2020-10-27 Alessia Patton , Pablo Antolin , Josef Kiendl , Alessandro Reali

Lattice-skin structures composed of a thin-shell skin and a lattice infill are widespread in nature and large-scale engineering due to their efficiency and exceptional mechanical properties. Recent advances in additive manufacturing, or 3D…

数值分析 · 数学 2022-06-20 Xiao Xiao , Fehmi Cirak

A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizing identical finite dimensional spaces (with arbitrary…

The precision of shape representation and the dimensionality of the design space significantly influence the cost and outcomes of aerodynamic optimization. The design space can be represented more compactly by maintaining geometric…

最优化与控制 · 数学 2025-04-03 Junlin Li , Yang Zhang , Bo Pang , Junqiang Bai , Jiakuan Xu

Shape optimization is of great significance in structural engineering, as an efficient geometry leads to better performance of structures. However, the application of gradient-based shape optimization for structural and architectural design…

数学软件 · 计算机科学 2023-06-30 Gaoyuan Wu

Shape optimization is a challenging task in many engineering fields, since the numerical solutions of parametric system may be computationally expensive. This work presents a novel optimization procedure based on reduced order modeling,…

数值分析 · 数学 2018-11-07 Nicola Demo , Marco Tezzele , Gianluca Gustin , Gianpiero Lavini , Gianluigi Rozza

This paper presents spline-based coupling methods for partitioned multiphysics simulations, specifically designed for isogeometric analysis (IGA) based solvers. Traditional vertex-based coupling approaches face significant challenges when…

数值分析 · 数学 2025-05-27 Jing-Ya Li , Hugo M. Verhelst , Henk den Besten , Matthias Möller