TL;DR: In this article, the authors compared Doppler shift, feature tracking, magnetic feature tracking and p-mode splittings, and concluded that the first three techniques are interpreted as rotation rates of solar phenomena which depend on the properties and depth of that which is measured.
Abstract: Observers have long measured solar rotation with different techniques and obtained different results. This paper compares differential rotation measurements from four techniques: Doppler shift, Doppler feature tracking, magnetic feature tracking, and p-mode splittings. The different rotation rates measured by the first three techniques are interpreted as rotation rates of solar phenomena which depend on the properties and depth of that which is measured. This interpretation is supported by comparison with rotation measurements obtained from p-mode splittings except for Doppler features. The rotation rate of the plasma corresponds to the surface rate obtained by inversions; the rates of magnetic features correspond to the rotation rate at various depths within the convection zone. Supergranulation rotates at a rate greater than the maximum rotation rate within the convection zone, suggesting that supergranules are not simple convection cells anchored at a particular depth.
TL;DR: In this article, small whirlpools in the Sun have been discovered, with a size similar to the terrestrial hurricanes, which are created at the downdrafts where the plasma returns to the solar interior after cooling down, and they detect them because some magnetic bright points (BPs) follow a logarithmic spiral in their way to be engulfed by a storm.
Abstract: We have discovered small whirlpools in the Sun, with a size similar to the terrestrial hurricanes (. 0.5 Mm). The theory of solar convection predicts them, but they had remained elusive so far. The vortex flows are created at the downdrafts where the plasma returns to the solar interior after cooling down, and we detect them because some magnetic bright points (BPs) follow a logarithmic spiral in their way to be engulfed by a downdraft. Our disk center observations show 0.9×10 −2 vortexes per Mm 2 , with a lifetime of the order of 5 min, and with no preferred sense of rotation. They are not evenly spread out over the surface, but they seem to trace the supergranulation and the mesogranulation. These observed properties are strongly biased by our type of measurement, unable to detect vortexes except when they are engulfing magnetic BPs. Subject headings: convection – Sun: photosphere – Sun: granulation
TL;DR: In this paper, the Fermat principle for acoustic rays and the Born approximation have been used to study the 3D structures and flows in the solar interior, and the results show that the emerging flux ropes travel very quickly through the depth range of the observations.
Abstract: The current interpretations of the travel-time measurements in quiet and active regions on the Sun are discussed. These interpretations are based on various approximations to the 3-D wave equation such as the Fermat principle for acoustic rays and the Born approximation. The ray approximation and its modifications have provided the first view of the 3-D structures and flows in the solar interior. However, more accurate and computationally efficient approximations describing the relation between the wave travel times and the internal properties are required to study the structures and flows in detail. Inversion of the large three-dimensional datasets is efficiently carried out by regularized iterative methods. Some results of time-distance inversions for emerging active regions, sunspots, meridional flows and supergranulation are presented. An active region which emerged on the solar disk in January 1998, was studied from SOHO/MDI for eight days, both before and after its emergence at the surface. The results show a complicated structure of the emerging region in the interior, and suggest that the emerging flux ropes travel very quickly through the depth range of our observations. The estimated speed of emergence is about 1.3 km s-1. Tomographic images of a large sunspot reveal sunspot ‘fingers’ — long narrow structures at a depth of about 4 Mm, which connect the sunspot with surrounding pores of the same polarity.
TL;DR: In this article, the authors provide a detailed interdisciplinary description of past and current research on the problem, from the most elaborate observational strategies to recent theoretical and numerical modeling efforts that have all taken up the challenge of uncovering the origins of supergranulation.
Abstract: The Sun’s supergranulation refers to a physical pattern covering the surface of the quiet Sun with a typical horizontal scale of approximately 30,000 km and a lifetime of around 1.8 d. Its most noticeable observable signature is as a fluctuating velocity field of 360 m st-1 rms whose components are mostly horizontal. Supergranulation was discovered more than fifty years ago, however explaining why and how it originates still represents one of the main challenges of modern solar physics. A lot of work has been devoted to the subject over the years, but observational constraints, conceptual difficulties and numerical limitations have all concurred to prevent a detailed understanding of the supergranulation phenomenon so far. With the advent of 21st century supercomputing resources and the availability of unprecedented high-resolution observations of the Sun, a stage at which key progress can be made has now been reached. A unifying strategy between observations and modelling is more than ever required for this to be possible. The primary aim of this review is therefore to provide readers with a detailed interdisciplinary description of past and current research on the problem, from the most elaborate observational strategies to recent theoretical and numerical modelling efforts that have all taken up the challenge of uncovering the origins of supergranulation. Throughout the text, we attempt to pick up the most robust findings so far, but we also outline the difficulties, limitations and open questions that the community has been confronted with over the years. In the light of the current understanding of the multiscale dynamics of the quiet photosphere, we finally suggest a tentative picture of supergranulation as a dynamical feature of turbulent magnetohydrodynamic convection in an extended spatial domain, with the aim of stimulating future research and discussions.
TL;DR: In this article, a simplified n-body advective-interaction model is proposed for scale selection in solar granulation, showing that clustering scales remarkably close to observed mesogranulation and supergranulation results.
Abstract: Solar granulation is described as an advection-fragmentation process in the upper layers of the convection zone. The fundamental hydrodynamic unit is the downflow plume, and from its structure the granular scale follows. Moreover, through the collective advective interaction of many small-scale and short-lived granular plumes, large spatial and long temporal mesogranular and supergranular scales naturally arise. We illustrate and examine this process of scale selection using a simplified n-body advective-interaction model. For parameters set by granulation observations and numerical plume simulations, clustering scales remarkably close to observed mesogranulation and supergranulation result.