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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Peridynamics model and a POD-based fast algorithm for the nonlocal unsteady problems
近场动力学模型 POD 非局部 非定常问题 快速算法
2023/5/6
A brief introduction to Peridynamics model and a fast algorithm for the nonlocal unsteady problems is given in this talk. The POD algorithm can be employed in the numerical simulation of nonlocal diff...
Nodal Points and the Nonlinear Stability of High-Order Methods for Unsteady Flow Problems on Tetrahedral Meshes
Nodal Points Nonlinear Stability High-Order Methods Unsteady Flow Problems Tetrahedral Meshes
2015/7/3
High-order methods have the potential to efficiently generate accurate solutions to fluid dynamics problems of practical interest. However, high-order methods are less robust than lower-or...
An Extension of Energy Stable Flux Reconstruction to Unsteady,Non-linear,Viscous Problems on Mixed Grids
Extension Energy Stable Flux Reconstruction Unsteady Non-linear Viscous Problems Mixed Grids
2015/7/3
This paper extends the high-order Flux Reconstruction (FR) approach to the treatment of non-linear diffusive fluxes on triangles. The FR approach for solving diffusion problems is re...
Unsteady Adjoint Method for the Optimal Control of Advection and Burger’s Equations using High-Order Spectral Difference Method
Unsteady Adjoint Method Optimal Control Advection Burger’s Equations High-Order Spectral
2015/7/3
In this study, we investigate the method for adjoint-based optimal control of linear and non-linear equations. In particular, we are interested in the formulation of the unsteady adjoint method based ...
Blending Dual Time Stepping and Newton-Krylov Methods for Unsteady Flows
Blending Dual Time Stepping Newton-Krylov Methods Unsteady Flows
2015/7/3
We explore the idea of using nonlinear schemes as preconditioners in Newton-Krylov schemes for unsteady flow computations. Analysis shows that left preconditioning changes the Newton scheme in a...
Nonlinear iterative solvers for unsteady Navier-Stokes equations
Nonlinear iterative solvers unsteady Navier-Stokes equations
2015/7/3
The application of nonlinear schemes like dual time stepping as preconditioners in matrix-free Newton-Krylov-solvers is considered and analyzed. We provide a novel formulation of the left precondition...
On nonlinear preconditioners in Newton–Krylov methods for unsteady flows
unsteady fl ows preconditioning Newton–Krylov methods matrix-free methods
2015/7/2
The application of nonlinear schemes like dual time stepping as preconditioners in matrix-free Newton Krylov-solvers is considered and analyzed, with a special emphasis on unsteady viscous flows...
Optimum Shape Design for Unsteady Flows with Time-Accurate Continuous and Discrete Adjoint Methods
Optimum Shape Design Unsteady Flows Time-Accurate Continuous Discrete Adjoint Methods
2015/7/2
This paper presents an adjoint method for the optimal control of unsteady flows. The goal is to develop the continuous and discrete unsteady adjoint equations and their corresponding boundary co...
Three-Dimensional Unsteady Multi-stage Turbomachinery Simulations using the Harmonic Balance Technique
Three-Dimensional Unsteady Multi-stage Turbomachinery Simulations Harmonic Balance Technique
2015/7/2
In this paper, we propose an extension of the Harmonic Balance method for three dimensional, unsteady, multi-stage turbomachinery problems modeled by the Unsteady Reynolds-Averaged Navier-Stokes (URAN...
Optimum Shape Design for Unsteady Three-Dimensional Viscous Flows Using a Nonlinear Frequency-Domain Method
Optimum Shape Design Unsteady Three-Dimensional Viscous Flows Nonlinear Frequency-Domain Method
2015/7/2
This paper presents an adjoint method for the optimum shape design of unsteady three-dimensional viscousflows.The goal is to develop a set of discrete unsteady adjoint equations and the correspo...
NON-LINEAR FREQUENCY DOMAIN BASED OPTIMUM SHAPE DESIGN FOR UNSTEADY THREE-DIMENSIONAL FLOWS
NON-LINEAR FREQUENCY DOMAIN BASED OPTIMUM SHAPE DESIGN UNSTEADY THREE-DIMENSIONAL FLOWS
2015/7/2
This paper presents an adjoint method for the optimum shape design of unsteady flows. The goal is to develop a set of discrete unsteady adjoint equations and the corresponding boundary condition...
Application of the Time Spectral Method to Periodic Unsteady Vortex Shedding
Time Spectral Method Periodic Unsteady Vortex Shedding
2015/7/2
The Time Spectral method has been proposed for the fast and efficient computation of periodic unsteady flows. The algorithm has been validated with both 2D and 3D test cases and applied suc...
OPTIMUM SHAPE DESIGN FOR UNSTEADY FLOWS USING TIME ACCURATE AND NON-LINEAR FREQUENCY DOMAIN METHODS
ACCURATE NON-LINEAR FREQUENCY DOMAIN METHODS
2015/7/2
This paper presents an adjoint method for the optimum shape design of unsteady flows. The goal is to develop a set of discrete unsteady adjoint equations and their corresponding boundary conditi...
OPTIMAL CONTROL OF UNSTEADY FLOWS USING A TIME ACCURATE METHOD
OPTIMAL CONTROL UNSTEADY FLOWS USING ACCURATE METHOD
2015/7/2
This paper presents an adjoint method for the optimal control of unsteady flows. The goal is to develop the continuous and discrete unsteady adjoint equations and their cor responding boundary c...
High-Order Numerical Algorithms for Steady and Unsteady Simulation of Viscous Compressible Flow with Shocks
Steady Unsteady Simulation
2015/6/18
Theoretical developments of flux reconstruction method
Unstructured high-order methods
The Flux Reconstruction approach
Energy Stable Flux Reconstruction schemes
Flux Reconstruction as Filtere...