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Comparison with Proper Orthogonal Decomposition

The performance of proper orthogonal decomposition in discontinuous flows

The performance of proper orthogonal decomposition in discontinuous flows

... Figure 14 shows the comparison of surface pressure coefficient between POD extrapolation and CFD. It can be seen that oscillation Fig. 13. Prediction error curve of POD interpolation. phenomenon still occurs at M ...

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Proper orthogonal decomposition as surrogate model for aerodynamic optimization

Proper orthogonal decomposition as surrogate model for aerodynamic optimization

... 1 2 Figure 5: Backward facing step. Control sections. contains 99.8% of the total field energy. The fact that the first POD mode is able to represent the most field energy is intrin- sic in the POD technique because it ...

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Gradient-enhanced surrogate modeling based on proper orthogonal decomposition

Gradient-enhanced surrogate modeling based on proper orthogonal decomposition

... F (·, ω r ) − F POD (·, ω r ) 0.847 1.266 0.997 Ratio: 4.9 4.1 5.0 Fig. 6. Two examples of interpolation curves for ROM coefficients fitted by using kriging resp. gradient-enhanced kriging (GEK). At ω = 1 and ω = 4, the ...

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Parameter Estimation in Groundwater Models Using Proper Orthogonal Decomposition.

Parameter Estimation in Groundwater Models Using Proper Orthogonal Decomposition.

... 7.2.3 SPE10 Our final example is from the Society of Petroleum Engineers Tenth Comparative Solution Project (SPE10) [19]. The model is specifically designed to test the limits of any methods attempting to use a fine grid ...

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A low order model of SCR-in-DPF systems with proper orthogonal decomposition

A low order model of SCR-in-DPF systems with proper orthogonal decomposition

... Figure 6. Approximate outlet NO x and NH 3 concentration from POD- Galerkin analysis for the first four POD modes, steady state NO x conversion case It can be seen that the prediction of our POD model agrees very closely ...

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Coupled domain decomposition–proper orthogonal decomposition methods for the simulation of quasi-brittle fracture processes

Coupled domain decomposition–proper orthogonal decomposition methods for the simulation of quasi-brittle fracture processes

... domain decomposition simulation performed with a 2 sub-domains ...the comparison with the reference analytical solution developed in [53], where the Bernoulli–Euler beam the- ory is employed to model the ...

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Proper orthogonal decomposition analysis of vortex shedding behind a rotating circular cylinder

Proper orthogonal decomposition analysis of vortex shedding behind a rotating circular cylinder

... respectively to the total fluctuating kinetic energy in the flow (Figure 6). It is seen that the first 2 modes have almost similar levels of energy. This result is suggestive of a less diversity of flow structure in the ...

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Balanced Proper Orthogonal Decomposition Applied to Magnetoquasistatic Problems Through a Stabilization Methodology

Balanced Proper Orthogonal Decomposition Applied to Magnetoquasistatic Problems Through a Stabilization Methodology

... From table III, we can see that POD is faster than the other methods since it does not require solving dual system (34–35). Furthermore, this table is relevant in terms of comparison between the different methods. ...

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Balanced Proper Orthogonal Decomposition Applied to Magnetoquasistatic Problems Through a Stabilization Methodology

Balanced Proper Orthogonal Decomposition Applied to Magnetoquasistatic Problems Through a Stabilization Methodology

... systems and the solution of the reduced problem. TABLE III S PEEDUP OF THE REDUCED SYSTEMS m 1 2 3 4 5 6 7 8 9 10 POD 53 33.9 13.3 11.4 8.6 7.9 6.7 6 5 4.8 BPOD 20 12.7 5 4.3 3.3 3 2.5 2.2 1.9 1.8 SISO 1 27.4 17.7 7.1 ...

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Reduced order modelling for a rotating cavity flow using proper orthogonal decomposition.

Reduced order modelling for a rotating cavity flow using proper orthogonal decomposition.

... Numerical simulations conducted for this class of flows are very limited. However, an extensive assessment of RANS models in vortex chambers and rotating cavities with imposed radial inflow has been carried out by Kumar ...

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Proper Orthogonal Decomposition Analysis and Modelling of the wake deviation behind a squareback Ahmed body

Proper Orthogonal Decomposition Analysis and Modelling of the wake deviation behind a squareback Ahmed body

... . Proper Orthogonal Decomposition (POD) is applied to a symmetry-augmented database in order to describe and model the flow ...dynamics. Comparison with experiments at a higher Reynolds number ...

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Proper Orthogonal Decomposition Analysis and Modelling of the wake deviation behind a squareback Ahmed body

Proper Orthogonal Decomposition Analysis and Modelling of the wake deviation behind a squareback Ahmed body

... . Proper Orthogonal Decomposition (POD) is applied to a symmetry-augmented database in order to describe and model the flow ...dynamics. Comparison with experiments at a higher Reynolds number ...

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Galerkin-free model reduction for fluid-structure interaction using proper orthogonal decomposition

Galerkin-free model reduction for fluid-structure interaction using proper orthogonal decomposition

... Figure 15 shows linearly interpolated characteristic POD time modes for the panel deflection and wall pressure for h ∗ = 0.010 in comparison with the high-fidelity solutions. As opposed to the POD space modes, the ...

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Open-loop control of cavity noise using Proper Orthogonal Decomposition reduced-order model

Open-loop control of cavity noise using Proper Orthogonal Decomposition reduced-order model

... At the end, it results in noise reduction and a change of the spa- tial distribution of the local minimum and maximum of pressure fluctuations of the whole flow. To emphasize this, pressure sig- nals have been sampled at ...

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Open-loop control of cavity noise using Proper Orthogonal Decomposition reduced-order model.

Open-loop control of cavity noise using Proper Orthogonal Decomposition reduced-order model.

... At the end, it results in noise reduction and a change of the spa- tial distribution of the local minimum and maximum of pressure fluctuations of the whole flow. To emphasize this, pressure sig- nals have been sampled at ...

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A rapid non-iterative proper orthogonal decomposition based outlier detection and correction for PIV data

A rapid non-iterative proper orthogonal decomposition based outlier detection and correction for PIV data

... The errors in estimating the detected outliers for the single contaminated vector field are shown in figure 9. It is observed from the figure that PODDEM offers the most robust, accurate and precise estimation of the ...

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Proper Orthogonal Decomposition as a technique for identifying multiphase flow regime based on Electrical Impedance Tomography

Proper Orthogonal Decomposition as a technique for identifying multiphase flow regime based on Electrical Impedance Tomography

... 3. RESULTS AND DISCUSSION Different flow regimes can be characterised through different structure of flow dynamics. In other words, each mode of POD can be used to represent the prevalent flow regime within the pipeline, ...

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Advances in Reduced-Order Modeling Based on Proper Orthogonal Decomposition for Single and Two-Phase Flows

Advances in Reduced-Order Modeling Based on Proper Orthogonal Decomposition for Single and Two-Phase Flows

... D. Original Contributions of Work The reduced-order model based on proper orthogonal decomposition for multiphase flows is a continuation of previous work. The author improved the ROM based on POD ...

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Recurrent neural networks and proper orthogonal decomposition with interval data for real time predictions of mechanised tunnelling processes

Recurrent neural networks and proper orthogonal decomposition with interval data for real time predictions of mechanised tunnelling processes

... applied in [74]. Here, an analysis with a Monte Carlo simulation of 10 5 samples together with the deterministic surrogate model described in [27] was carried out. The interval results obtained from the Monte Carlo ...

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Proper orthogonal and dynamic mode decomposition of sunspot data

Proper orthogonal and dynamic mode decomposition of sunspot data

... For illustrative purposes we will concentrate on the first branches of the sausage and kink slow body modes, i.e. modes with only one radial node occurring at the umbra/penumbra boundary. The first POD mode shows the ...

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