[HTML][HTML] Error-driven adaptive mesh refinement for unsteady turbulent flows in spectral-element simulations
The simulation of turbulent flows requires high spatial resolution in potentially a priori
unknown, solution-dependent locations. To achieve adaptive refinement of the mesh, we …
unknown, solution-dependent locations. To achieve adaptive refinement of the mesh, we …
From limited observations to the state of turbulence: Fundamental difficulties of flow reconstruction
Numerical simulations of turbulence provide nonintrusive access to all the resolved scales
and any quantity of interest, although they often invoke idealizations and assumptions that …
and any quantity of interest, although they often invoke idealizations and assumptions that …
[HTML][HTML] Modal laminar–turbulent transition delay by means of topology optimization of superhydrophobic surfaces
When submerged under a liquid, the microstructure of a SuperHydrophobic Surface (SHS)
traps a lubricating layer of gas pockets, which has been seen to reduce the skin friction of …
traps a lubricating layer of gas pockets, which has been seen to reduce the skin friction of …
Entropy-Adjoint -Adaptive Discontinuous Galerkin Method for the Under-Resolved Simulation of Turbulent Flows
This paper presents an approach to mesh adaptation suitable for scale-resolving
simulations. The methodology is based on the entropy-adjoint approach, which corresponds …
simulations. The methodology is based on the entropy-adjoint approach, which corresponds …
Risk-averse design of tall buildings for uncertain wind conditions
Reducing the intensity of wind excitation via aerodynamic shape modification is a major
strategy to mitigate the reaction forces on supertall buildings, reduce construction and …
strategy to mitigate the reaction forces on supertall buildings, reduce construction and …
Approximating the linear response of physical chaos
AA Śliwiak, Q Wang - Nonlinear Dynamics, 2023 - Springer
Parametric derivatives of statistics are highly desired quantities in prediction, design
optimization and uncertainty quantification. In the presence of chaos, the rigorous …
optimization and uncertainty quantification. In the presence of chaos, the rigorous …
Efficient computation of linear response of chaotic attractors with one-dimensional unstable manifolds
N Chandramoorthy, Q Wang - SIAM Journal on Applied Dynamical Systems, 2022 - SIAM
The sensitivity of time averages in a chaotic system to an infinitesimal parameter
perturbation grows exponentially with the averaging time. However, long-term averages or …
perturbation grows exponentially with the averaging time. However, long-term averages or …
A computable realization of Ruelle's formula for linear response of statistics in chaotic systems
N Chandramoorthy, Q Wang - arXiv preprint arXiv:2002.04117, 2020 - arxiv.org
We present a computable reformulation of Ruelle's linear response formula for chaotic
systems. The new formula, called Space-Split Sensitivity or S3, achieves an error …
systems. The new formula, called Space-Split Sensitivity or S3, achieves an error …
Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems
An assumption of smooth response to small parameter changes, of statistics or long-time
averages of a chaotic system, is generally made in the field of sensitivity analysis, and the …
averages of a chaotic system, is generally made in the field of sensitivity analysis, and the …
[HTML][HTML] Ergodic sensitivity analysis of one-dimensional chaotic maps
Sensitivity analysis in chaotic dynamical systems is a challenging task from a computational
point of view. In this work, we present a numerical investigation of a novel approach, known …
point of view. In this work, we present a numerical investigation of a novel approach, known …