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s;code = 115 char = ;code = 32 char = w;code = 119 char = o;code = 111 char = r;code = 114 char = k;code = 107 char = ;code = 32 char = h;code = 104 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = i;code = 105 char = d;code = 100 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = i;code = 105 char = f;code = 102 char = i;code = 105 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = a;code = 97 char = r;code = 114 char = e;code = 101 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = f;code = 102 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = i;code = 105 char = m;code = 109 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = v;code = 118 char = e;code = 101 char = m;code = 109 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = .;code = 46 char = ;code = 32 char = F;code = 70 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = e;code = 101 char = x;code = 120 char = a;code = 97 char = m;code = 109 char = p;code = 112 char = l;code = 108 char = e;code = 101 char = ,;code = 44 char = ;code = 32 char = u;code = 117 char = s;code = 115 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = l;code = 108 char = a;code = 97 char = r;code = 114 char = g;code = 103 char = e;code = 101 char = r;code = 114 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = e;code = 101 char = c;code = 99 char = u;code = 117 char = r;code = 114 char = s;code = 115 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = d;code = 100 char = o;code = 111 char = m;code = 109 char = a;code = 97 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = w;code = 119 char = o;code = 111 char = u;code = 117 char = l;code = 108 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = e;code = 101 char = t;code = 116 char = t;code = 116 char = e;code = 101 char = r;code = 114 char = ;code = 32 char = c;code = 99 char = a;code = 97 char = p;code = 112 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = e;code = 101 char = l;code = 108 char = o;code = 111 char = n;code = 110 char = g;code = 103 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = b;code = 98 char = u;code = 117 char = l;code = 108 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = r;code = 114 char = u;code = 117 char = c;code = 99 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = ,;code = 44 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = c;code = 99 char = l;code = 108 char = u;code = 117 char = d;code = 100 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = s;code = 115 char = a;code = 97 char = l;code = 108 char = i;code = 105 char = n;code = 110 char = i;code = 105 char = t;code = 116 char = y;code = 121 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = e;code = 101 char = m;code = 109 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = a;code = 97 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = e;code = 101 char = q;code = 113 char = u;code = 117 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = ;code = 32 char = w;code = 119 char = o;code = 111 char = u;code = 117 char = l;code = 108 char = d;code = 100 char = ;code = 32 char = a;code = 97 char = c;code = 99 char = c;code = 99 char = o;code = 111 char = u;code = 117 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = f;code = 102 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = d;code = 100 char = e;code = 101 char = n;code = 110 char = s;code = 115 char = i;code = 105 char = t;code = 116 char = y;code = 121 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = r;code = 114 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = f;code = 102 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = i;code = 105 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = e;code = 101 char = f;code = 102 char = f;code = 102 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = ;code = 32 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = b;code = 98 char = u;code = 117 char = l;code = 108 char = e;code = 101 char = n;code = 110 char = c;code = 99 char = e;code = 101 char = .;code = 46 char = ;code = 32 char = A;code = 65 char = d;code = 100 char = d;code = 100 char = i;code = 105 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = l;code = 108 char = y;code = 121 char = ,;code = 44 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = w;code = 119 char = a;code = 97 char = l;code = 108 char = l;code = 108 char = ;code = 32 char = s;code = 115 char = h;code = 104 char = e;code = 101 char = a;code = 97 char = r;code = 114 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = l;code = 108 char = l;code = 108 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = u;code = 117 char = l;code = 108 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = e;code = 101 char = ;code = 32 char = i;code = 105 char = m;code = 109 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = v;code = 118 char = e;code = 101 char = d;code = 100 char = ,;code = 44 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = r;code = 114 char = r;code = 114 char = a;code = 97 char = y;code = 121 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = n;code = 110 char = f;code = 102 char = i;code = 105 char = g;code = 103 char = u;code = 117 char = r;code = 114 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = u;code = 117 char = l;code = 108 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = e;code = 101 char = ;code = 32 char = e;code = 101 char = x;code = 120 char = a;code = 97 char = m;code = 109 char = i;code = 105 char = n;code = 110 char = e;code = 101 char = d;code = 100 char = .;code = 46 char = <;code = 60 char = b;code = 98 char = r;code = 114 char = /;code = 47 char = >;code = 62 result sql = This paper presents our initial work in performing large-eddy simulations of tidal turbine array flows. First, a horizontally periodic precursor simulation is performed to create turbulent flow data. Then those data are used as inflow into a tidal turbine array two rows deep and infinitely wide. The turbines are modelled using rotating actuator lines, and the finite-volume method is used to solve the governing equations. In studying the wakes created by the turbines, we observed that the vertical shear of the inflow combined with wake rotation causes lateral wake asymmetry. Also, various turbine configurations are simulated, and the total power production relative to isolated turbines is examined. We found that staggering consecutive rows of turbines in the simulated configurations allows the greatest efficiency using the least downstream row spacing. Counter-rotating consecutive downstream turbines in a non-staggered array shows a small benefit. This work has identified areas for improvement. For example, using a larger precursor domain would better capture elongated turbulent structures, and including salinity and temperature equations would account for density stratification and its effect on turbulence. Additionally, the wall shear stress modelling could be improved, and more array configurations could be examined.
Publication: Philos Trans A Math Phys Eng Sci 2013 Feb 28 ;371(1985)::20120421. :doi: 10.1098/rsta.2012.0421.
Publication Date: 2013 Feb 28
Study Author(s): Churchfield, Matthew J;Li, Ye;Moriarty, Patrick J;
Institution: National Wind Technology Center, National Renewable Energy Laboratory, 15013 Denver West Parkway, Golden, CO 80401, USA.
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This paper presents our initial work in performing large-eddy simulations of tidal turbine array flows. First, a horizontally periodic precursor simulation is performed to create turbulent flow data. Then those data are used as inflow into a tidal turbine array two rows deep and infinitely wide. The turbines are modelled using rotating actuator lines, and the finite-volume method is used to solve the governing equations. In studying the wakes created by the turbines, we observed that the vertical shear of the inflow combined with wake rotation causes lateral wake asymmetry. Also, various turbine configurations are simulated, and the total power production relative to isolated turbines is examined. We found that staggering consecutive rows of turbines in the simulated configurations allows the greatest efficiency using the least downstream row spacing. Counter-rotating consecutive downstream turbines in a non-staggered array shows a small benefit. This work has identified areas for improvement. For example, using a larger precursor domain would better capture elongated turbulent structures, and including salinity and temperature equations would account for density stratification and its effect on turbulence. Additionally, the wall shear stress modelling could be improved, and more array configurations could be examined.
PMID: 23319713