Dr Nils Mole
School of Mathematical and Physical Sciences
Senior Lecturer
+44 114 222 3772
Full contact details
School of Mathematical and Physical Sciences
G28
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
 Research interests

Nils Mole works on problems in turbulent diffusion, in particular on the atmospheric dispersion of hazardous gas clouds. The specific topics of main interest are: the relationship between statistical moments of the containment concentration; mathematical modelling of the concentration moments; the probability distribution of concentration in meandering plumes; measurement errors in concentration data; application of statistical extreme value theory to large concentration values. He also does some work in collaboration with the solar physics group, on the effect of random flows on solar oscillations.
 Publications

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Journal articles
 The Spatial Variation of the Maximum Possible Contaminant Concentration From a Steady Line Source. BoundaryLayer Meteorology. View this article in WRRO
 A firstorder autoregressive model for the joint distribution of a time dependent random variable and its derivative. Environmetrics, 22(7), 826846.
 A firstorder autoregressive model for the joint distribution of a time dependent random variable and its derivative. Environmetrics.
 The spatial variation of the maximum possible pollutant concentration from steady sources. Modelling for Environment's Sake: Proceedings of the 5th Biennial Conference of the International Environmental Modelling and Software Society, iEMSs 2010, 1, 410417.
 An idealised model of turbulent dispersion: Two and three spatial dimensions. Environmetrics, 21(78), 767788.
 An idealised model of turbulent dispersion: two rectangular pulse initial condition. ENVIRONMETRICS, 20(5), 527540. View this article in WRRO
 Some comments on "The flow across a street canyon of variable widthPart 2: Scalar dispersion from a street level line source" by Serge Simoens and James M. Wallace. ATMOS ENVIRON, 43(2), 479479. View this article in WRRO
 Effects of random flows on the solar f mode: I. Horizontal flow. SOLAR PHYSICS, 251(12), 453468. View this article in WRRO
 Effects of random flows on the solar f mode: II. Horizontal and vertical flow. SOLAR PHYSICS, 251(12), 469489. View this article in WRRO
 View this article in WRRO A novel approach to the solar interioratmosphere eigenvalue problem. ASTROPHYS J, 683(1), 527535.
 High concentrations of a passive scalar in turbulent dispersion. J FLUID MECH, 604, 447474. View this article in WRRO
 An idealised model of turbulent dispersion: one rectangular pulse initial condition. ENVIRONMETRICS, 18(6), 561582.
 Influence of random magnetic field on solar global oscillations: The incompressible fmode. ASTRON ASTROPHYS, 431(3), 10831088.
 Some simple statistical models for relative and absolute dispersion. BOUNDLAY METEOROL, 107(2), 253271.
 A concentration PDF for the relative dispersion of a contaminant plume in the atmosphere. BOUNDLAY METEOROL, 106(3), 411436.
 The high concentration tails of the probability density function of a dispersing scalar in the atmosphere. BOUNDLAY METEOROL, 98(2), 315339.
 The large time behaviour in a model for concentration fluctuations in turbulent dispersion. ATMOS ENVIRON, 35(5), 833844.
 Evaluation of statistical models in atmospheric dispersion modelling. INTERNATIONAL JOURNAL OF ENVIRONMENT AND POLLUTION, 14(16), 106114.
 Comments on the properties and uses of atmospheric dispersion datasets. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA CGEOPHYSICS AND SPACE PHYSICS, 20(3), 475489.
 Investigation of the collapse of the skewness and kurtosis exhibited in atmospheric dispersion data. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA CGEOPHYSICS AND SPACE PHYSICS, 20(3), 385398.
 Modelling concentration fluctuation moments for spherically symmetric mean concentration. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA CGEOPHYSICS AND SPACE PHYSICS, 20(3), 399411.
 A switching Poisson process model for high concentrations in shortrange atmospheric dispersion. ATMOS ENVIRON, 31(6), 813824.
 Atmospheric diffusion: Some new mathematical models. ADV COMPUT MATH, 6(34), 227242.
 MODELING THE EVOLUTION OF MOMENTS OF CONTAMINANT CONCENTRATION IN TURBULENT FLOWS. ENVIRONMETRICS, 6(6), 607617.
 THE ALPHABETA MODEL FOR CONCENTRATION MOMENTS IN TURBULENT FLOWS. ENVIRONMETRICS, 6(6), 559569.
 A GENERALIZED PARETO DISTRIBUTION MODEL FOR HIGHCONCENTRATIONS IN SHORTRANGE ATMOSPHERIC DISPERSION. ENVIRONMETRICS, 6(6), 595606.
 PRACTICAL STATISTICALMODELS OF ENVIRONMENTALPOLLUTION. MATHEMATICAL AND COMPUTER MODELLING, 21(9), 1114.
 RELATIONSHIPS BETWEEN HIGHER MOMENTS OF CONCENTRATION AND OF DOSE IN TURBULENT DISPERSION. BOUNDLAY METEOROL, 73(12), 3552.
 CONCENTRATION FLUCTUATION DATA FROM DISPERSION EXPERIMENTS CARRIED OUT IN STABLE AND UNSTABLE CONDITIONS. BOUNDLAY METEOROL, 67(12), 4174.
 Investigations on the Atmospheric Dispersion of Clouds Containing Charged Tracers. IMA Journal of Applied Mathematics, 42(2), 97117.
Chapters
 TURBULENT DISPERSION: HOW RESULTS FOR THE ZERO MOLECULAR DIFFUSIVITY CASE CAN BE USED IN THE REAL WORLD, Advances in Environmental Fluid Mechanics (pp. 324). WORLD SCIENTIFIC
 Effects of Random Flows on the Solar f Mode: II. Horizontal and Vertical Flow, Helioseismology, Asteroseismology, and MHD Connections (pp. 467487). Springer New York
 Effects of Random Flows on the Solar f Mode: I. Horizontal Flow, Helioseismology, Asteroseismology, and MHD Connections (pp. 451466). Springer New York
 Pollutant Measurements John Wiley & Sons, Ltd
Conference proceedings papers
 Turbulence and surface gravity waves on the Sun. Nonlinear Science and Complexity, Vol. 1 (pp 1323)
 Random flow effects on surface waves. European Space Agency, (Special Publication) ESA SP(547) (pp 7579)
 Influence of random magnetic field on photospheric surface waves. European Space Agency, (Special Publication) ESA SP(547) (pp 6974)
 The maximum concentration during the passage of a contaminant cloud. INTERNATIONAL CONFERENCE AND WORKSHOP ON MODELING THE CONSEQUENCES OF ACCIDENTAL RELEASES OF HAZARDOUS MATERIALS (pp 665676)
 A model for concentration fluctuation moments in advecting clouds. NINTH JOINT CONFERENCE ON APPLICATIONS OF AIR POLLUTION METEOROLOGY WITH A&WMA (pp 6869)
 Recent work on the probability density function (pdf) of concentration in atmospheric dispersion. NINTH JOINT CONFERENCE ON APPLICATIONS OF AIR POLLUTION METEOROLOGY WITH A&WMA (pp 3436)
 Research group
 Grants

Past grants, as Coinvestigator
Development of novel mathematical methods in turbulent diffusion EPSRC Extremes in turbulent dispersion EPSRC
 Teaching activities

MAS320 Fluid Mechanics I MAS325 Mathematical Methods