Robert Chiodi
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View article: Probabilistic flux limiters
Probabilistic flux limiters Open
The stable numerical integration of shocks in compressible flow simulations relies on the reduction or elimination of Gibbs phenomena (unstable, spurious oscillations). A popular method to virtually eliminate Gibbs oscillations caused by n…
View article: Implementation of Surface Tension on a Reacting Flow Solver, PeleLM: Preprint
Implementation of Surface Tension on a Reacting Flow Solver, PeleLM: Preprint Open
In liquid rocket engines, the fuel is supplied to the combustion chamber in the liquid state though injectors. Such fuel undergoes atomization, vaporization, and combustion processes. To design reliable and efficient injectors, it is requi…
View article: Assessment of a multiphase formulation of one-dimensional turbulence using direct numerical simulation of a decaying turbulent interfacial flow
Assessment of a multiphase formulation of one-dimensional turbulence using direct numerical simulation of a decaying turbulent interfacial flow Open
The interaction between turbulence and surface tension is studied numerically using the one-dimensional-turbulence (ODT) model. ODT is a stochastic model simulating turbulent flow evolution along a notional one-dimensional line of sight by…
View article: Probabilistic Flux Limiters
Probabilistic Flux Limiters Open
The stable numerical integration of shocks in compressible flow simulations relies on the reduction or elimination of Gibbs phenomena (unstable, spurious oscillations). A popular method to virtually eliminate Gibbs oscillations caused by n…
View article: On a Spectral Method for β-particle Bound Excitation Collisions in Kilonovae
On a Spectral Method for β-particle Bound Excitation Collisions in Kilonovae Open
The interaction of β -particles with the weakly ionized plasma background is an important mechanism for powering the kilonova (KN) transient signal from neutron star mergers. For this purpose, we present an implementation of the approximat…
View article: Assessment of a Multiphase Formulation of One-Dimensional Turbulence using Direct Numerical Simulation of a Decaying Turbulent Interfacial Flow
Assessment of a Multiphase Formulation of One-Dimensional Turbulence using Direct Numerical Simulation of a Decaying Turbulent Interfacial Flow Open
The interaction between turbulence and surface tension is studied numerically using the one-dimensional-turbulence (ODT) model. ODT is a stochastic model simulating turbulent flow evolution along a notional one-dimensional line of sight by…
View article: Capturing thin structures in VOF simulations with two-plane reconstruction
Capturing thin structures in VOF simulations with two-plane reconstruction Open
A novel interface reconstruction strategy for volume of fluid (VOF) methods is introduced that represents the liquid-gas interface as two planes that co-exist within a single computational cell. In comparison to the piecewise linear interf…
View article: Hybrid particle-spectral method for kinetic plasma simulations
Hybrid particle-spectral method for kinetic plasma simulations Open
A hybrid model for numerical solutions of the Vlasov–Poisson equations is presented, which blends spectral and particle approaches. The model splits the distribution function for plasma species into both spectral and particle representatio…
View article: Hybrid particle-spectral method for kinetic plasma simulations
Hybrid particle-spectral method for kinetic plasma simulations Open
A hybrid model for numerical solutions of the Vlasov–Poisson equations is presented, which blends spectral and particle approaches. The model splits the distribution function for plasma species into both spectral and particle representatio…
View article: Simulating interfacial flows: a farewell to planes
Simulating interfacial flows: a farewell to planes Open
Over the past decades, the volume-of-fluid (VOF) method has been the method of choice for simulating atomization processes, owing to its unique ability to discretely conserve mass. Current state-of-the-art VOF methods, however, rely on the…
View article: On a spectral method for $β$-particle bound excitation collisions in kilonovae
On a spectral method for $β$-particle bound excitation collisions in kilonovae Open
The interaction of $β$-particles with the weakly ionized plasma background is an important mechanism for powering the kilonova transient signal from neutron star mergers. For this purpose, we present an implementation of the approximate fa…
View article: Machine Learning Optimal Flux-Limiters for Hydrodynamic Calculations [Slides]
Machine Learning Optimal Flux-Limiters for Hydrodynamic Calculations [Slides] Open
Machine-learned slope limiters adopt strange forms but work well. These slope-limiters performed as well as commonly used limiters for the range of test cases shown. The computational cost of evaluating a B-Spline limiter tractable.
View article: Machine Learning Optimal Flux-Limiters for Hydrodynamic Calculations [Slides]
Machine Learning Optimal Flux-Limiters for Hydrodynamic Calculations [Slides] Open
on lattices with [Formula: see text], and 2x, 3x, 4x, and 8x coarse-grainings. We train a continuous piecewise linear limiter by minimizing the mean-squared misfit to six-grid point segments of high-resolution data, averaged over all segme…
View article: First Moments of a Polyhedron Clipped by a Paraboloid
First Moments of a Polyhedron Clipped by a Paraboloid Open
We provide closed-form expressions for the first moments (i.e., the volume and volume-weighted centroid) of a polyhedron clipped by a paraboloid, that is, of a polyhedron intersected with the subset of the three-dimensional real space loca…
View article: First moments of a polyhedron clipped by a paraboloid
First moments of a polyhedron clipped by a paraboloid Open
We provide closed-form expressions for the first moments (i.e., the volume and volume-weighted centroid) of a polyhedron clipped by a paraboloid, that is, of a polyhedron intersected with the subset of the three-dimensional real space loca…
View article: Discretely Conservative Multiphase Advection on Unstructured Meshes Using the Interface Reconstruction Library [Slides]
Discretely Conservative Multiphase Advection on Unstructured Meshes Using the Interface Reconstruction Library [Slides] Open
where we calculate the curvature of a sphere, an ellipsoid, and a sinusoid in a 3D domain on regular Cartesian meshes, distorted hex meshes, and tetrahedral meshes. Lastly, for both regular and unstructured meshes, we find in all cases the…