The effect of small-scale morphology on thermal dynamics in coral microenvironments.

The thermal microenvironments of corals is a topic of current interest given their relationship to coral bleaching. We present computational fluid dynamics (CFD) model of corals with both smooth and rugged polyp surface topographies for two species of massive corals (Leptastrea purpurea and Platygyra sinensis) in order to predict their microscale surface warming. This study explores whether variation in polyp depth (PD) may directly effect a coral overall surface area-to-volume (A/V) ratio and consequently its surface warming. Validation of our models was made against detailed laboratory measurements of coral surface warming and thermal boundary layer thickness. Our results suggested that while differences in surface warming exist between smooth surfaces and surfaces covered in micro-polyps (5 mm depth), the variation in terms of surface warming is small (~0.18-0.19∘C) and it can be largely attributed to increasing A/V ratios. Our results demonstrated good agreement with measurements of surface temperatures on living corals and that ignoring the presence of polyps by modelling heat transfer associated with a smooth surface makes no material difference to the values obtained or the interpretation of the processes leading to surface warming.

Prediction of solar irradiance using ray-tracing techniques for coral macro- and micro-habitats.

Light distribution on coral reefs is very heterogeneous at the microhabitat level and is an important determinant of coral thermal microenvironments. This study implemented a solar load model that uses a backward ray-tracing method to estimate macroscale and microscale variations of solar irradiance penetrating the ocean surface and impacting the surfaces of coral colonies. We then explored whether morphological characteristics such as tissue darkness (or pigmentation) and thickness may influence the amount of light captured and its spectral distribution by two contrasting coral colony morphologies, branching and massive. Results of global horizontal irradiance above and below the sea-surface and at the surface of coral colonies were validated using spectrometer scans, field measurements, and empirical correlations. The macroscale results of horizontal, irradiated, and shaded irradiance levels and solar altitude angles for PAR, UVA and UVB compared very well with the spectrometer-based observations (typically within < 5%). In general, a comparison between the model results and field and empirical measurements indicated that the contributions of clouds, turbidity, and tides to variations in irradiance at various depth (up to 5 m) were typically within 5-10% of each other. Moreover, the effect of colony darkness or pigmentation on light microenvironment was notably more pronounced for the massive species than branching colony. This study provided insights that species with thinner tissue have the ability to intercept more light with the difference in terms of irradiance levels between 0.1 mm and 0.8 mm tissue thickness for both massive and branching colonies were approximately 2 W m-2, which was quite unlikely to influence the overall coral heat budgets.

The effect of allometric scaling in coral thermal microenvironments.

A long-standing interest in marine science is in the degree to which environmental conditions of flow and irradiance, combined with optical, thermal and morphological characteristics of individual coral colonies, affects their sensitivity of thermal microenvironments and susceptibility to stress-induced bleaching within and/or among colonies. The physiological processes in Scleractinian corals tend to scale allometrically as a result of physical and geometric constraints on body size and shape. There is a direct relationship between scaling to thermal stress, thus, the relationship between allometric scaling and rates of heating and cooling in coral microenvironments is a subject of great interest. The primary aim of this study was to develop an approximation that predicts coral thermal microenvironments as a function of colony morphology (shape and size), light or irradiance, and flow velocity or regime. To do so, we provided intuitive interpretation of their energy budgets for both massive and branching colonies, and then quantified the heat-size exponent (b*) and allometric constant (m) using logarithmic linear regression. The data demonstrated a positive relationship between thermal rates and changes in irradiance, A/V ratio, and flow, with an interaction where turbulent regime had less influence on overall stress which may serve to ameliorate the effects of temperature rise compared to the laminar regime. These findings indicated that smaller corals have disproportionately higher stress, however they can reach thermal equilibrium quicker. Moreover, excellent agreements between the predicted and simulated microscale temperature values with no significant bias were observed for both the massive and branching colonies, indicating that the numerical approximation should be within the accuracy with which they could be measured. This study may assist in estimating the coral microscale temperature under known conditions of water flow and irradiance, in particular when examining the intra- and inter-colony variability found during periods of bleaching conditions.

Development and validation of computational fluid dynamics models for prediction of heat transfer and thermal microenvironments of corals.

We present Computational Fluid Dynamics (CFD) models of the coupled dynamics of water flow, heat transfer and irradiance in and around corals to predict temperatures experienced by corals. These models were validated against controlled laboratory experiments, under constant and transient irradiance, for hemispherical and branching corals. Our CFD models agree very well with experimental studies. A linear relationship between irradiance and coral surface warming was evident in both the simulation and experimental result agreeing with heat transfer theory. However, CFD models for the steady state simulation produced a better fit to the linear relationship than the experimental data, likely due to experimental error in the empirical measurements. The consistency of our modelling results with experimental observations demonstrates the applicability of CFD simulations, such as the models developed here, to coral bleaching studies. A study of the influence of coral skeletal porosity and skeletal bulk density on surface warming was also undertaken, demonstrating boundary layer behaviour, and interstitial flow magnitude and temperature profiles in coral cross sections. Our models compliment recent studies showing systematic changes in these parameters in some coral colonies and have utility in the prediction of coral bleaching.