Manuel A. Diaz

Institut Pprime / ENSMA

Last seen: 3 months ago | Active since 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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Submitted

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 (...

1 year ago | 6 downloads |

Submitted

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

1 year ago | 2 downloads |

Submitted

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

1 year ago | 1 download |

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

2 years ago | 1 download |

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

2 years ago | 1 download |

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

2 years ago | 1 download |

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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)

3 years ago | 1 download |

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

3 years ago | 1 download |

Submitted

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

3 years ago | 1 download |

Submitted

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...

3 years ago | 4 downloads |

Submitted

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.

3 years ago | 3 downloads |

Submitted

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

3 years ago | 2 downloads |

Submitted

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

3 years ago | 3 downloads |

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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 ...

3 years ago | 3 downloads |

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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.

3 years ago | 1 download |

Submitted

BDF
Backward Differentiation Formulas

3 years ago | 1 download |

Submitted

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

3 years ago | 3 downloads |

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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...

3 years ago | 3 downloads |

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LaguerreL
Vectorized function for computing the associated Laguerre polynomials

5 years ago | 5 downloads |

Submitted

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

5 years ago | 12 downloads |

Submitted

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

5 years ago | 9 downloads |

Submitted

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

5 years ago | 10 downloads |

Submitted

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)....

5 years ago | 8 downloads |