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Manuel A. Diaz


Institut Pprime / ENSMA

Last seen: plus d'un an il y a Actif depuis 2013

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Professional Interests: Computational Fluid Dynamics (CFD), High-resolution methods, 2D/3D CFD simulations with Finite Element (FE) and Discontinuous Galerkin (DG) Methods.

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Newton's Divided Differences and its associated Polynomial
Computes Newton's table for Divided Differences and the coefficients of the associated polynomial function for a given dataset (...

presque 4 ans il y a | 223 téléchargements |

5.0 / 5
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Order of accuracy & Stability
This snippet shows how I examine the order of accuracy (OOA) and the numerical stability for a given numerical scheme.

presque 4 ans il y a | 26 téléchargements |

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Compact Filters with Holes
Matlab implementation of selective filters as compact operators to be used with finite-difference solvers.

environ 4 ans il y a | 11 téléchargements |

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KRON
The pseudo-kronecker product function. A special generalization of the Kronecker product aimed to build FD-schemes with obstacle...

presque 5 ans il y a | 13 téléchargements |

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Interpolating a vector field
A short script that exemplifies how to produce the interpolation of a vector field.

presque 5 ans il y a | 54 téléchargements |

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Fit 2D polynomial surface to scattered data
A minimalistic implementation of a 2d polynomial Least Squares problem.

presque 5 ans il y a | 81 téléchargements |

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Acoustic pulse evolution over a constant mean flow
Implementation of the analytical solution of a Gaussian pulse governed by the 2D & 3D Linearized Euler Equations (LEE)

environ 5 ans il y a | 40 téléchargements |

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Compact Filters
A multidimensional implementation of a high-order compact finite-difference filter

environ 5 ans il y a | 49 téléchargements |

5.0 / 5
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Pulse reflection over a cylinder
An analytical solution of the reflection of a Gaussian pulse over an infinitely long cylinder.

environ 5 ans il y a | 27 téléchargements |

5.0 / 5
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Analytic solution of the 1d Wave Equation
Computing the exact solution for a Gaussian profile governed by 1-d wave equation with free flow BCs or with perfectly reflectin...

plus de 5 ans il y a | 258 téléchargements |

5.0 / 5
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Least Squares Polynomial Fitting for Noisy Data
This snippet exemplifies the use of a custom LU decomposition method to produce a k-order polynomial fit to noisy data.

plus de 5 ans il y a | 165 téléchargements |

5.0 / 5
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A vectorized cubic spline
A vectorized, parallel capable, cubic spline interpolation/extrapolation function for non-uniformly distributed 1d data

plus de 5 ans il y a | 79 téléchargements |

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compact schemes
A collection of snippets that exemplify the proper implementation of conservative high-order compact-schemes.

plus de 5 ans il y a | 69 téléchargements |

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Easy build finite-difference operators
This snippet shows how to build any central/biased (explicit) finite-difference schemes and their associated 2D and 3D discrete ...

plus de 5 ans il y a | 123 téléchargements |

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Easy build compact schemes
A Taylor-Table-Algorithm is presented to automate the computation of weights for centered/biased compact FDM schemes.

plus de 5 ans il y a | 44 téléchargements |

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BDF
Backward Differentiation Formulas

plus de 5 ans il y a | 97 téléchargements |

5.0 / 5
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Finite difference coefficients generator
A simple generator for coefficients of central finite-difference (FD) stencils

plus de 5 ans il y a | 118 téléchargements |

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Matlab 3D array to ParaView (via HDF5 + XDMF)
We exemplify how to export a large 3D array for visualization into ParaView using HPC's classical approach: using HDF5 with XDMF...

presque 6 ans il y a | 305 téléchargements |

5.0 / 5
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LaguerreL
Vectorized function for computing the associated Laguerre polynomials

presque 8 ans il y a | 299 téléchargements |

5.0 / 5
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Plot Gaussian Vortex Beams
Matlab visualizations of analytical descriptions of Hermite-Gaussian and Laguerre-Gaussian Vortex Beams

presque 8 ans il y a | 826 téléchargements |

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Weighted Essentially Non-Oscillatory (WENO) Scheme for Euler
A Fifth order WENO solver for the Euler system of equations

presque 8 ans il y a | 1055 téléchargements |

4.5 / 5
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Flux Reconstruction (FR/CPR)
Advect Information using Correction Via Reconstruction Method

environ 8 ans il y a | 655 téléchargements |

5.0 / 5
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1-d MUSCL Solver for the Shallow Water Equations
A conservative finite-volume (FV) implementation of the Saint Venant equations, also known as the shallow water equations (SWE)....

environ 8 ans il y a | 629 téléchargements |

5.0 / 5
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Quasi-analytical solver for scalar conservation laws
Couluovrat's quasi-analitical solver for the Buckley-Leverett and inviscid Burgers' equations

environ 8 ans il y a | 51 téléchargements |

5.0 / 5
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MUSCL-THINC-BVD and WENO5-THINC-BVD solvers
Comparison two hybrid solvers based on the THINC reconstruction and BVD algorithm.

environ 8 ans il y a | 130 téléchargements |

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wme7/ApproximateRiemannSolvers
MUSCL and WENO Approximate Riemann Solvers

environ 8 ans il y a | 605 téléchargements |

5.0 / 5
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Compare WENO7-BS and WENO7-Z
A comparison between FD implementations of seventh-order WENO-JS and the WENO-Z scheme.

environ 9 ans il y a | 85 téléchargements |

5.0 / 5
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Compare WENO5-JS, WENO5-M and WENO5-Z
Comparison of three most popular implementations of 5th-order WENO schemes.

environ 9 ans il y a | 272 téléchargements |

5.0 / 5
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Write 2D and 3D Arrays into VTK
A function to export either 2D/3D Matlab arrays as a binary *.vtk file for Paraview.

environ 10 ans il y a | 1375 téléchargements |

4.3 / 5
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Jacobi Solver for the Unsteady Heat Equation
1, 2, and 3-dimensional solver for the heat equation using Jacobi Method

plus de 10 ans il y a | 457 téléchargements |

5.0 / 5
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