Variational bounds on energy dissipation in incompressible flows: Shear flow

1994 ◽  
Vol 49 (5) ◽  
pp. 4087-4099 ◽  
Author(s):  
Charles R. Doering ◽  
Peter Constantin
Keyword(s):  
Energy Dissipation ◽  
Shear Flow ◽  
Incompressible Flows ◽  
Variational Bounds

Variational bounds on energy dissipation in incompressible flows. III. Convection

1996 ◽  
Vol 53 (6) ◽  
pp. 5957-5981 ◽  
Author(s):  
Charles R. Doering ◽  
Peter Constantin
Keyword(s):  
Energy Dissipation ◽  
Incompressible Flows ◽  
Variational Bounds

scholarly journals Energy dissipation in body-forced plane shear flow

2003 ◽  
Vol 494 ◽  
pp. 275-284 ◽  
Author(s):  
C. R. DOERING ◽  
B. ECKHARDT ◽  
J. SCHUMACHER
Keyword(s):  
Energy Dissipation ◽  
Shear Flow ◽  
Plane Shear

Investigations of the Hydraulic Characteristics of Stilling Basin with Baffle-Blocks Using an Integrated SPH Method

2019 ◽  
Vol 17 (08) ◽  
pp. 1950051
Author(s):  
X. J. Ma ◽  
Y. L. Yan ◽  
G. Y. Li ◽  
M. Geni ◽  
M. Wang
Keyword(s):  
Energy Dissipation ◽  
Incompressible Flows ◽  
Particle Methods ◽  
Solid Boundary ◽  
Discharge Process ◽  
Sph Method ◽  
Stilling Basin ◽  
Dissipation Effect ◽  
Kernel Gradient Correction ◽  
Baffle Block

The stilling basin has been one of the most powerful hydraulic structures for the dissipation of the flow energy. Meshfree and particle methods have special advantages in modeling incompressible flows with free surfaces. In this paper, an integrated smoothed particle hydrodynamics (SPH) method is developed to model energy dissipation process of stilling basins. The integrated SPH includes the kernel gradient correction (KGC) technique, the dynamic solid boundary treatment, [Formula: see text]-SPH model and density reinitialization. We first conducted the simulations of dam-breaking and hydraulic jump to validate the accuracy of the present method. The present simulation results agree well with the experimental observations and numerical results from other sources. Then the discharge process of stilling basin with baffle-blocks is simulated with the integrated SPH. It is demonstrated that the detailed discharge process can be well captured by this method. The energy dissipation effect of stilling basin could be significantly improved by the baffle-blocks. The structure and position of the baffle-block directly affect the energy dissipation effect, while the height of the baffle-block has big influence on the drainage capacity.

scholarly journals Variational Bound on Energy Dissipation in Turbulent Shear Flow

1997 ◽  
Vol 79 (21) ◽  
pp. 4170-4173 ◽  
Author(s):  
Rolf Nicodemus ◽  
Siegfried Grossmann ◽  
Martin Holthaus
Keyword(s):  
Energy Dissipation ◽  
Shear Flow ◽  
Turbulent Shear ◽  
Turbulent Shear Flow
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