Modeling periodic and non-periodic response of dynamical systems using an efficient Chebyshev-based time-spectral approach

DOI10.1016/j.jcp.2020.109560zbMath1437.76038OpenAlexW3032703678MaRDI QIDQ782008

Reza Djeddi, Hang Li, Kivanc Ekici, Jay I. Frankel

Publication date: 21 July 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109560

zbMATH Keywords

nonlinear dynamicsunsteady flowChebyshev seriesharmonic balancetime-spectral methodaperiodic flow

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Viscous vortex flows (76D17) Compressible Navier-Stokes equations (76N06)

Related Items (1)

Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system

Uses Software

• SU2
• Spalart-Allmaras

Cites Work

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• Fourier time spectral method for subsonic and transonic flows
• Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena
• On the Chebyshev spectral continuous time approximation for constant and periodic delay differential equations
• Computationally fast harmonic balance methods for unsteady aerodynamic predictions of helicopter rotors
• A Chebyshev spectral collocation method for solving Burgers'-type equations
• Mappings and accuracy for Chebyshev pseudo-spectral approximations
• A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
• High-order implicit time integration for unsteady turbulent flow simulations
• Evaluation of fully implicit Runge Kutta schemes for unsteady flow calculations
• Several symbolic augmented Chebyshev expansions for solving the equation of radiative transfer
• Time Spectral Method for Periodic and Quasi-Periodic Unsteady Computations on Unstructured Meshes
• Fundamentals of Engineering Numerical Analysis
• Characteristics of flow over a rotationally oscillating cylinder at low Reynolds number
• Minimal Repetition Dynamic Checkpointing Algorithm for Unsteady Adjoint Calculation
• A Galerkin solution to a regularized Cauchy singular integro-differential equation
• A space-time lower–upper symmetric Gauss–Seidel scheme for the time-spectral method
• Checkpointing with Time Gaps for Unsteady Adjoint CFD

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