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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...
An Assessment of Dual-Time Stepping, Time Spectral and Artificial Compressibility based Numerical Algorithms for Unsteady Flow with Applications to Flapping Wings
Assessment Dual-Time Stepping Time Spectral Compressibility based Numerical Algorithms Unsteady Flow Flapping Wings
2015/7/3
The objective of this study is to compare and contrast three numerical algorithms that can be used to estimate the forces and pressure distribution on wings in flapping motion. All algorithms ar...
Monotonicity preserving multigrid time stepping schemes for conservation laws
Monotonicity preserving multigrid stepping schemes conservation laws
2015/7/2
In this paper, we propose monotonicity preserving and total variation diminishing (TVD) mul tigrid methods for solving scalar conservation laws. We generalize the upwind-biased residual restriction an...
Aerodynamic Shape Optimization of Airfoils in Ultra-Low Reynolds Number Flow using Simultaneous Pseudo-Time Stepping
Ultra-Low Reynolds Number Flow Shape Optimization of
2015/6/23
The paper presents numerical results of optimized airfoils at ultra-low
Reynolds numbers. These investigations are carried out to understand the aerodynamic
issues related to the low speed and micro...
Applications of Dual Time Stepping to Fully Implicit Runge-Kutta Schemes for Unsteady Flow Calculations
Unsteady Flow Calculations Time Stepping
2015/6/18
Accordingly, a fast steady state solver is an essential building block for an implicit
scheme. This leads to a circular situation. We need an implicit scheme for fast
convergence to a steady state, ...
Computation of Time-Accurate Laminar Flows Using Dual Time Stepping and Local Preconditioning with Multigrid
Dual time stepping Local preconditioning Laminar flow Multigrid
2009/10/9
A cell-centered finite volume method with explicit dual time-stepping and a low Mach number preconditioning technique is successfully applied to 2-dimensional Navier-Stokes equations for the numerical...