On the well-posedness of uncalibrated photometric stereo under general lighting

**numerical**

**simulations**on synthetic data to empirically validate our findings. Expand abstract.

**numerical**

**simulations**on synthetic data to empirically validate our findings.

4/10 relevant

arXiv

Dynamic Evolution of a Transient Supersonic Trailing Jet Induced by a Strong Incident Shock Wave

**numerical**

**simulations**to reveal the mechanism leading to the formation of the second triple point. Expand abstract.

**numerical**

**simulations**. Experimental evidence is provided for the presence of a second triple shock configuration along with a shocklet between the reflected shock and the slipstream, which has no analogue in a steady-state underexpanded jet. A pseudo-steady model is developed, which allows for the determination of the post-shock flow condition for a transient propagating oblique shock. This model is applied to the

**numerical**

**simulations**to reveal the mechanism leading to the formation of the second triple point. Accordingly, the formation of the triple point is initiated by the transient motion of the reflected shock, which is induced by the convection of the vortex ring. While the vortex ring embedded shock move essentially as a translating strong oblique shock, the reflected shock is rotating towards its steady state position. This results in a pressure discontinuity that must be resolved by the formation of a shocklet.

5/10 relevant

arXiv

Turbulent rotating convection confined in a slender cylinder: the sidewall circulation

**numerical**

**simulations**on a cylindrical domain. Expand abstract.

**simulations**on a laterally unconfined periodic domain on the other. This paper addresses this discrepancy using direct

**numerical**

**simulations**on a cylindrical domain. An analysis of the flow field reveals a region of enhanced convection near the wall, the sidewall circulation. The sidewall circulation rotates slowly within the cylinder in anticyclonic direction. It has a convoluted structure, illustrated by mean flow fields in horizontal cross-sections of the flow where instantaneous snapshots are compensated for the orientation of the sidewall circulation before averaging. Through separate analysis of the sidewall region and the inner bulk flow, we find that for higher values of the thermal forcing the heat transport in the inner part of the cylindrical domain, outside the sidewall circulation region, coincides with the heat transport on the unconfined periodic domain. Thus the sidewall circulation accounts for the differences in heat transfer between the two considered domains, while in the bulk the turbulent heat flux is the same as that of a laterally unbounded periodic domain. Therefore, experiments, with their inherent confinement, can still provide turbulence akin to the unbounded domains of simulations, and at more extreme values of the governing parameters for thermal forcing and rotation. We also provide experimental evidence for the existence of the sidewall circulation that is in close agreement with the

**simulation**results.

4/10 relevant

arXiv

Experimental and **numerical** study of the propagation of focused wave
groups in the nearshore zone

**Numerical**

**simulations**are conducted using a modified Boussinesq model for long waves in shallow waters of varying depth. Expand abstract.

**Numerical**

**simulations**are conducted using a modified Boussinesq model for long waves in shallow waters of varying depth. Experimental results are in satisfactory agreement with

**numerical**predictions, especially in the case of wave trains derived from JONSWAP spectrum.

4/10 relevant

arXiv

The waiting time phenomenon in spatially discretized porous medium and thin film equations

**Numerical**

**simulations**show that the phenomenon is already clearly visible for relatively coarse discretizations. Expand abstract.

**Numerical**

**simulations**show that the phenomenon is already clearly visible for relatively coarse discretizations.

4/10 relevant

arXiv

Model-Free Learning of Optimal Ergodic Policies in Wireless Systems

**Numerical**

**simulations**confirm the effectiveness of our approach.

4/10 relevant

arXiv

A review on radiation of oscillons and oscillatons

**Numerical**

**simulations**show that a massive real scalar field in a nonlinear theory can form long-lived oscillating localized states. For a self-interacting scalar on a fixed background these objects are named oscillons, while for the self-gravitating case they are called oscillatons. This extensive review is about the history and various general properties of these solutions, though mainly focusing on the small but nonzero classical scalar field radiation emitted by them. The radiation for higher amplitude states can be calculated by a spectral

**numerical**method. For small and moderately large amplitudes an analytical approach based on complex extension, asymptotic matching and Borel summation can be used. This procedure for the calculation of the energy loss rate is explained in a detailed way in this review, starting with the simplest one-dimensional scalar oscillons at first, and reaching to $3+1$ dimensional self-gravitating oscillatons based on that experience.

4/10 relevant

arXiv

Spatio-temporal behavior of magnetohydrodynamic fluctuations with cross-helicity and background magnetic field

**numerical**

**simulations**of three-dimensional magnetohydrodynamic turbulence. Expand abstract.

**numerical**

**simulations**of three-dimensional magnetohydrodynamic turbulence. We consider cases with relatively small, intermediate, and large values of a mean background magnetic field, and with null, small, and high cross-helicity (correlations between the velocity and the magnetic field). Wavenumber-dependent time correlation functions are computed for the different

**simulations**. From these correlation functions, the decorrelation time is computed and compared with different theoretical characteristic times: the local non-linear time, the random-sweeping time, and the Alfv\'enic time. It is found that decorrelation times are dominated by sweeping effects for low values of the mean magnetic field and for low values of the cross-helicity, while for large values of the background field or of the cross-helicity and for wave vectors sufficiently aligned with the guide field, decorrelation times are controlled by Alfv\'enic effects. Finally, we observe counter-propagation of Alfv\'enic fluctuations due to reflections produced by inhomogeneities in the total magnetic field. This effect becomes more prominent in flows with large cross-helicity, strongly modifying the propagation of waves in turbulent magnetohydrodynamic flows.

4/10 relevant

arXiv

Use of a Kepler solver in N-body **simulations**

**Numerical**

**simulations**of a six-body problem of the Sun, Jupiter, Saturn, Uranus, Neptune and Pluto show that the new method can significantly improve the accuracy of all the orbital elements and positions of individual planets, as compared with the case without correction. The new method and the Fukushima's method are almost the same in the

**numerical**performance and require negligibly additional computational cost. They both are the best of the existing correction methods in $N$-body

**simulations**.

4/10 relevant

arXiv

Splitting of two-component solitons from collisions with narrow potential barriers

**numerical**

**simulations**to find the transmissions of both components in regions outside of these approximations and to compare with the approximate analytics, finding that there is an appreciable parameter range where one component is essentially entirely transmitted and the other reflected. Expand abstract.

**numerical**

**simulations**to find the transmissions of both components in regions outside of these approximations and to compare with the approximate analytics, finding that there is an appreciable parameter range where one component is essentially entirely transmitted and the other reflected.

4/10 relevant

arXiv