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Hydrodynamics Optimizing Methods and Tools Part 1 potx
... extraction from unstructured point-based volume data and a narrow band around the zero level set is constructed The band consists of two parts: an inner and an outer band The inner band contains ... Isosurfaces extraction is a common visualization concept and is suitable for SPH data visualization, as one is often interested in seeing boundaries of certain features Because of the use of radial kernel ... one component of an isosurface from the density field of an SPH simulation of a white dwarf 5.3 Non-iterative second-order approximation of signed distance function Signed distance functions are...
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Hydrodynamics Optimizing Methods and Tools Part 2 doc
... multiple contacts on a particle are allowed, and friction and rotation are also taken into account Each particle has six degrees of freedom of motion For simplification of the description of the ... is a function of smoothing length h and distance between positions r and r a For clarification of the description, the subscripts a and b are used for the SPH fluid particles, and i and j for the ... visualization provides a method to understand the distribution of data by displaying the attraction regions of modes of the multivariate density function Each cluster contains at least one mode...
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Hydrodynamics Optimizing Methods and Tools Part 3 docx
... function As kernel function is a keystone of smoothed particle methods a great attention is paid to construction of new types of kernels Till now a large amount of different types of kernel functions ... methods the non-stationary equations were used and the convergence of the non-stationary solutions obtained by SPH and ISPH methods to the stationary analytic solution (39) are considered Parameters ... function on the right hand side of Eqs (12) and (14) appears in the form of paired particles, such equations are conveniently employed in fluid dynamics, allowing the conservation of linear and...
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Hydrodynamics Optimizing Methods and Tools Part 4 pdf
... these simulations the mechanism of formation of satellite drops was also studied, 86 Hydrodynamics – Optimizing Methods and Tools confirming that the principal cause of the formation of satellite ... evolution of the kinetic and internal energy of the bigger drop When two drops collide the possible results of the collision (coalescence, flocculation or fragmentation of drops) depends only on ... expression Aj Ai i W (ri r j ,h) j nj (8) The SPH discretization reduces the Navier-Stokes equation to a system of ordinary differential equations having the form of Newton's second law of...
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Hydrodynamics Optimizing Methods and Tools Part 5 doc
... number of 200 and a Mach number of Ma = 0.3 with τ = 0, 0.01, 0.1 and (◦, , ♦ and ) Conclusions and perspectives We arrived to a good agreement between the derived generalised equations of motion ... domain, irrespective of the constituent phases locally present A separate equation for evolution of liquid fraction is solved in conjunction with the above set of conservation equations, which implicitly ... equations of motion Eq (65), by its expression Eq (64) and we define Dt λi = L i [ λ, μ ] (68) Dt μ = M [ λ, μ ] i i To wit we made the separation in Eq (64) and Eq (65) between gradient and non-gradient...
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Hydrodynamics Optimizing Methods and Tools Part 6 pdf
... Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 2Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian University of Technology, ... dimensionless velocity u is very small, so the perturbation term only has little influence on the precision of Eq (9) The difference between LBM and the traditional convection-diffusion equation ... formulation and model validation 2.1.1 Mathematical formulation Continuity and Navier-Stokes equations We assume the fluid system contains fluid phase of n-components The D2Q9 BGK model is applied and...
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Hydrodynamics Optimizing Methods and Tools Part 7 pdf
... decomposition (10) Application of the decomposition requires two mass conservation equations for 2D problems Integration of the continuity equation (1) over the control volumes V1 and V2 shown on Figure ... forms of the Navier–Stokes equations consists of the nonlinear convection-diffusion operator (N ∗ in equation (26) instead of N in equation (4)) and source terms (F ∗ and G ∗ in equation (26) ... «multidimensional component of pressure» Another smoothing (marked as ) is intended for computation of correction of the «one-dimensional component of 196 Hydrodynamics – Optimizing Methods and Tools...
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Hydrodynamics Optimizing Methods and Tools Part 8 ppt
... current random computation nodes of revolving ring on one of neural network training iteration of equation (25)-(26) decisions is presented Contours of stream function within the computational zone ... versions for multi-criterion search of several equations system solution are based on different methods of generating multiple solutions, satisfying Pareto conditions Choosing candidate solution ... Network Modeling of Hydrodynamics Processes 205 common vs w-weights between neuron and input b-thresholds of neurons v-weights between neuron and output neuron bv-threshold of output neuron i=1,3 w(i)=vs(i)...
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Hydrodynamics Optimizing Methods and Tools Part 9 pdf
... (system response) Fig 3.8 Synthetic discharge difference and system response for different periods of oscillation 600 240 Hydrodynamics – Optimizing Methods and Tools periods: 60 and 120 seconds ... dimensions of the Secondary Culvert Hence, it is of the order of the conduits widths (4.5 m for the U branch, and 3.1 m for the S branch) On the other hand, the relation between the velocity-scale of ... kinematics equation (3) and those in the turbulence transport equations (4, 5) This convective interpolation function was obtained by solving a linear and steady convection-diffusion equation analytically...
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Hydrodynamics Optimizing Methods and Tools Part 10 ppt
... Methods and Tools G1 G2 11 G3 14 u / U mean v / Umean 0.219 0.269 Lower profile No of vertical points Zone of calculation Upper profile Mesh 0.363 0.34 Upper profile 0.218 0.262 Lower profile ... Hydrodynamics – Optimizing Methods and Tools 4.3 Helical secondary current and submerged weirs Fig 17 shows a plan view of the simulated 3D flow and comparison of computed and measured secondary flows in ... (1987) On nonlinear k-l and k-ε models of turbulence, J Fluid Mech., 178, 459-475 Stone, H L (1968) Iterative solution of implicit approximation of multidimensional partial differential equations,...
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Hydrodynamics Optimizing Methods and Tools Part 11 pot
... equal air and water contents Table Main regions of concentration profiles (Chanson, 1997) As already mentioned, two examples are considered: The opening of a dam gate, a transient situation, and a ... results of air entrainment at any location of the spillway, allowing the prediction of the air concentration profiles (void fraction profiles) for all calculation domains Fig 15 is an example of shown ... optimization of the design of stepped structures crucially depends on the measurement of the inception point and the void fraction distribution (Tozzi, 1992) Both are mean values (mean position and...
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Hydrodynamics Optimizing Methods and Tools Part 12 pptx
... further information and investigation are necessary to confirm this relationship Relation between hydrate formation and operation conditions This section focuses on the relation between the gas ... functions of the mixing elements but other conditions; operation pressure, operation temperature, gas and water flow rates, gas species, and so on The relation between the hydrate formation pattern ... the concentration polarization and fouling, but in the case of MD modules the magnitude of temperature polarization also has a The Influence of the Hydrodynamic Conditions on the Performance of...
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Hydrodynamics Optimizing Methods and Tools Part 13 pdf
... Electrode system In dynamic conditions or turbulent flow conditions, the Study of the Mass Transport on Corrosion of Low Carbon Steel Immersed in Sour Solution Under Turbulent Flow Conditions 357 ... Length on the Measurement of Cathodic Kinetics of Steel Corrosion In CO2 Containing Solutions, under Turbulent Flow Conditions, Proceedings of Conferences of NACE-Corrosion, Paper 02490, Houston, ... Analysis of Gas Separation Processes of HFC-134a from Gaseous Mixtures with NitrogenComparison of Two Types of Gas Separation Methods, Liquefaction and HydrateBased Methods, in Terms of the Equilibrium...
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Hydrodynamics Optimizing Methods and Tools Part 14 pdf
... distribution ( x) of secondary phase, the common integration scheme for the full system with sequential solution of flow equations, energy equation and equations for field, concentration etc will ... change of ( x) obtaining of stable numerical solution is possible 2.7 Electrolyte composition The effect of nonuniform distribution of alumina concentration is of importance for consideration of ... conditions and electricity consuming This is done by solution of heat conduction equation and Laplace's equation for electric potential In general CFD may be also used for the flow prediction...
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Hydrodynamics Optimizing Methods and Tools Part 15 potx
... terms, coefficients, and boundary conditions should be specified For the sake of effective solution of these conjugative equations some simplifications should be done Some of them are discussed ... accumulation and evolution The implementation of the model of polydispersity in the whole numerical model of VAE will result in the increasing of the number of equations, because several additional ... stability of numerical calculations, more simple form of horizontal component force was taken for simulation of bubble motion across the gap The robustness of simulations is an argument to develop and...
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Hydrodynamics Optimizing Methods and Tools Part 4 ppt
... these simulations the mechanism of formation of satellite drops was also studied, 86 Hydrodynamics – Optimizing Methods and Tools confirming that the principal cause of the formation of satellite ... evolution of the kinetic and internal energy of the bigger drop When two drops collide the possible results of the collision (coalescence, flocculation or fragmentation of drops) depends only on ... expression Aj Ai i W (ri r j ,h) j nj (8) The SPH discretization reduces the Navier-Stokes equation to a system of ordinary differential equations having the form of Newton's second law of...
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Hydrodynamics Optimizing Methods and Tools Part 7 pptx
... decomposition (10) Application of the decomposition requires two mass conservation equations for 2D problems Integration of the continuity equation (1) over the control volumes V1 and V2 shown on Figure ... forms of the Navier–Stokes equations consists of the nonlinear convection-diffusion operator (N ∗ in equation (26) instead of N in equation (4)) and source terms (F ∗ and G ∗ in equation (26) ... «multidimensional component of pressure» Another smoothing (marked as ) is intended for computation of correction of the «one-dimensional component of 196 Hydrodynamics – Optimizing Methods and Tools...
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Hydrodynamics Optimizing Methods and Tools Part 8 pot
... current random computation nodes of revolving ring on one of neural network training iteration of equation (25)-(26) decisions is presented Contours of stream function within the computational zone ... versions for multi-criterion search of several equations system solution are based on different methods of generating multiple solutions, satisfying Pareto conditions Choosing candidate solution ... Network Modeling of Hydrodynamics Processes 205 common vs w-weights between neuron and input b-thresholds of neurons v-weights between neuron and output neuron bv-threshold of output neuron i=1,3 w(i)=vs(i)...
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Hydrodynamics Optimizing Methods and Tools Part 9 ppt
... (system response) Fig 3.8 Synthetic discharge difference and system response for different periods of oscillation 600 240 Hydrodynamics – Optimizing Methods and Tools periods: 60 and 120 seconds ... dimensions of the Secondary Culvert Hence, it is of the order of the conduits widths (4.5 m for the U branch, and 3.1 m for the S branch) On the other hand, the relation between the velocity-scale of ... kinematics equation (3) and those in the turbulence transport equations (4, 5) This convective interpolation function was obtained by solving a linear and steady convection-diffusion equation analytically...
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Hydrodynamics Optimizing Methods and Tools Part 10 docx
... Methods and Tools G1 G2 11 G3 14 u / U mean v / Umean 0.219 0.269 Lower profile No of vertical points Zone of calculation Upper profile Mesh 0.363 0.34 Upper profile 0.218 0.262 Lower profile ... Hydrodynamics – Optimizing Methods and Tools 4.3 Helical secondary current and submerged weirs Fig 17 shows a plan view of the simulated 3D flow and comparison of computed and measured secondary flows in ... (1987) On nonlinear k-l and k-ε models of turbulence, J Fluid Mech., 178, 459-475 Stone, H L (1968) Iterative solution of implicit approximation of multidimensional partial differential equations,...
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