Folch et al 2021a - Revision history

Scipediacontent at 08:16, 12 March 2021

2021-03-12T08:16:26Z

Scipediacontent at 08:16, 12 March 2021

2021-03-12T08:16:08Z

Scipediacontent at 08:14, 12 March 2021

2021-03-12T08:14:19Z

Scipediacontent at 08:13, 12 March 2021

2021-03-12T08:13:00Z

Scipediacontent at 08:12, 12 March 2021

2021-03-12T08:12:39Z

Scipediacontent at 08:11, 12 March 2021

2021-03-12T08:11:12Z

Scipediacontent at 08:09, 12 March 2021

2021-03-12T08:09:04Z

Scipediacontent at 08:07, 12 March 2021

2021-03-12T08:07:56Z

Scipediacontent: Scipediacontent moved page Draft Content 843923825 to Folch et al 2021a

2021-03-11T16:45:36Z

Scipediacontent moved page Draft Content 843923825 to Folch et al 2021a

Scipediacontent: Created page with "== Abstract == The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds num..."

2021-03-11T16:45:33Z

Created page with "== Abstract == The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds num..."

New page

== Abstract ==

The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G= u, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GGTwith excellent results;1hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, (u) =

== Full document ==
<pdf>Media:Draft_Content_843923825p6049.pdf</pdf>

@@ Line 1: / Line 1: @@
 == Abstract ==
-The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711; <span style="text-decoration:overline">u</span>, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sup>T</sup> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = (∆<sup>2</sup>/12) GG<sup>T</sup> +O(∆<sup>4</sup>), i.e. the gradient model proposed by Clark.<sup>2</sup> Furthermore, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
+The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711;<span style="text-decoration:overline">u</span>, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sup>T</sup> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(<span style="text-decoration:overline">u</span>) = (∆<sup>2</sup>/12) GG<sup>T</sup> +O(∆<sup>4</sup>), i.e. the gradient model proposed by Clark.<sup>2</sup> Furthermore, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
 It is currently being developed for a semi-infinite boundary layer with periodic conditions as a previous step to carry out wind farm simulations. Details of the implementation and numerical results will be presented.
 == Full document ==
 <pdf>Media:Draft_Content_843923825p6049.pdf</pdf>

@@ Line 1: / Line 1: @@
 == Abstract ==
-The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711;u, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sup>T</sup> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = (∆<sup>2</sup>/12) GG<sup>T</sup> +O(∆<sup>4</sup>), i.e. the gradient model proposed by Clark.<sup>2</sup> Furthermore, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
+The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711; <span style="text-decoration:overline">u</span>, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sup>T</sup> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = (∆<sup>2</sup>/12) GG<sup>T</sup> +O(∆<sup>4</sup>), i.e. the gradient model proposed by Clark.<sup>2</sup> Furthermore, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
 It is currently being developed for a semi-infinite boundary layer with periodic conditions as a previous step to carry out wind farm simulations. Details of the implementation and numerical results will be presented.
 == Full document ==
 <pdf>Media:Draft_Content_843923825p6049.pdf</pdf>

@@ Line 1: / Line 1: @@
 == Abstract ==
-The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711;u, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sup>T</sup> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = ∆2 12GGT +O(∆4), i.e. the gradient model proposed by Clark.<sup>2</sup> Furthermore, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
+The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711;u, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sup>T</sup> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = (∆<sup>2</sup>/12) GG<sup>T</sup> +O(∆<sup>4</sup>), i.e. the gradient model proposed by Clark.<sup>2</sup> Furthermore, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
 It is currently being developed for a semi-infinite boundary layer with periodic conditions as a previous step to carry out wind farm simulations. Details of the implementation and numerical results will be presented.
 == Full document ==
 <pdf>Media:Draft_Content_843923825p6049.pdf</pdf>

@@ Line 1: / Line 1: @@
 == Abstract ==
-The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711;u, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sub>T</sub> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = ∆2 12GGT +O(∆4), i.e. the gradient model proposed by Clark.<sup>2</sup> more, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
+The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711;u, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sup>T</sup> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = ∆2 12GGT +O(∆4), i.e. the gradient model proposed by Clark.<sup>2</sup> Furthermore, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
 It is currently being developed for a semi-infinite boundary layer with periodic conditions as a previous step to carry out wind farm simulations. Details of the implementation and numerical results will be presented.
 == Full document ==
 <pdf>Media:Draft_Content_843923825p6049.pdf</pdf>

@@ Line 1: / Line 1: @@
 == Abstract ==
-The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711;u, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GGTwith excellent results;1 hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = ∆2 12GGT +O(∆4), i.e. the gradient model proposed by Clark.2 Furthermore, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.3 The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
+The incompressible Navier-Stokes equations stand as the best mathematical model for turbulent flows. However, direct numerical simulations at high Reynolds numbers are not yet feasible because the convective term produces far too many relevant scales of motion, thus remaining limited to relatively low-Reynolds numbers. Dynamically less complex mathematical formulations have been developed for coarse-grain simulations, like the well known eddy-viscosity models. Most of these models are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, G=&#8711;u, and should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Brand-new models have been constructed considering the first three invariants of the symmetric tensor GG<sub>T</sub> with excellent results;<sup>1</sup> hence, it is formally based on the lowest-order approximation of the subgrid stress tensor, τ(u) = ∆2 12GGT +O(∆4), i.e. the gradient model proposed by Clark.<sup>2</sup> more, these models have been implemented on a pseudo-spectral algorithm with a fully-explicit second-order time-integration method.<sup>3</sup> The performance of this special configuration has been successfully tested for decaying isotropic turbulence and a turbulent channel flow.
 It is currently being developed for a semi-infinite boundary layer with periodic conditions as a previous step to carry out wind farm simulations. Details of the implementation and numerical results will be presented.
 == Full document ==
 <pdf>Media:Draft_Content_843923825p6049.pdf</pdf>

← Older revision	Revision as of 16:45, 11 March 2021
(No difference)