Janusz Pudykiewicz

Janusz Pudykiewicz
Environment Canada | EC

PhD
Exponential time integration methods for meteorological models

About

53
Publications
54,016
Reads
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2,251
Citations
Introduction
Research interests: Numerical weather prediction. Advection-reaction-diffusion equation. Transport of atmospheric constituents. Inverse tracer transport problems. Topological fluid dynamics. Coupling between geophysical processes and rotation. Sagnac interferometry. History of meteorology.
Additional affiliations
September 1987 - July 2022
Environment Canada
Position
  • Senior Research Scientist
August 1982 - October 1984
Environment Canada
Position
  • PostDoc Position
Description
  • Numerical Methods for solution of atmospheric chemistry and transport

Publications

Publications (53)
Article
Full-text available
Exponential integration methods offer a highly accurate approach to the time integration of large systems of differential equations. In recent years, they have attracted increased attention in a number of diverse fields due to advances in their computational efficiency. This has been as a result of the use of Krylov subspace methods for the approxi...
Article
Full-text available
The exponential propagation methods were applied in the past for accurate integration of the shallow water equations on the sphere. Despite obvious advantages related to the exact solution of the linear part of the system, their use for the solution of practical problems in geophysics has been limited because efficiency of the traditional algorithm...
Article
Full-text available
We present the construction and preliminary tests of the exponential time integration schemes for the Euler equations. The equations are written in terms of potential temperature and Exner function. The time stepping is accomplished with the EPI2 and EPI3 schemes which have been used in the past for very accurate, long time step integration of the...
Article
This is a review article invited by Atmosphere-Ocean to document the contributions of Recherche en Prévision Numérique (RPN) to Numerical Weather Prediction (NWP). It is structured as a historical review and documents RPN's contributions to numerical methods, numerical modelling, data assimilation, and ensemble systems, with a look ahead to potenti...
Presentation
Full-text available
On-line presentation for the Numerical Methods Group meeting at RPN/A
Article
Full-text available
In this paper, we investigate the use of higher-order exponential Rosenbrock time integration methods for the shallow water equations on the sphere. This stiff, nonlinear model provides a ‘testing ground’ for accurate and stable time integration methods in weather modeling, serving as the focus for exploration of novel methods for many years. We th...
Preprint
Full-text available
In this paper, we investigate the use of higher-order exponential Rosenbrock time integration methods on the shallow water equations on the sphere. This stiff, nonlinear model provides a testing ground for accurate and stable time integration methods in weather modeling, serving as the focus for exploration of novel methods for many years. We there...
Technical Report
Full-text available
A formalism of the 4-D tensor calculus is applied for analysis of the terrain following coordinates on a rotating ellipsoid with time dependent lower boundary representing orography. The metric tensor as well as the Christoffel symbols are derived, and consequently, applied to formulate the covariant form of the fluid equations on a spheroid. All r...
Presentation
Full-text available
A tensor formalism in four dimensions is used to write the governing equations of geophysical flows. It is shown that these tensor equations may be obtained from a Lagrangian density that is a scalar under synchronous coordinate transformations. It is argued that the concept of ”consistent” approximations defined by White et al. (2005) may lead to...
Article
Three models with different discretizations for the shallow-water equations on a sphere are presented and compared using selected test cases. The first model is based on the global latitude–longitude grid system with a uniform Arakawa C grid and a two-time-level Crank–Nicolson iterative semi-Lagrangian method with an advecting wind interpolated in...
Presentation
Full-text available
Reminiscences about atmospheric transport models
Article
The shallow water equations coupled to the set of reaction–advection–diffusion equations are discretized on a geodesic icosahedral mesh using the finite volume technique. The method of solution of this coupled system is based on the principle of semi-discretization. The algorithm is mass conserving and stable for advection with the Courant numbers...
Article
Full-text available
We present a first application of a hemispheric transport model to quantitatively evaluate the spreading of radioactive debris following the Chernobyl nuclear accident. The model employed in the simulation is essentially a simplified version of the Eulerian Long Range Transport of Air Pollutants (LRTAP) model designed for continental scale applicat...
Article
Full-text available
[1] During July and August, 2004, balloon-borne ozonesondes were released daily at 12 sites in the eastern USA and Canada, producing the largest single set of free tropospheric ozone measurements ever compiled for this region. At the same time, a number of air quality forecast models were run daily as part of a larger field experiment. In this pape...
Article
A finite volume algorithm for the solution of the reaction–advection–diffusion equation on the sphere is derived and evaluated using analytical solutions. The proposed approach is based on the principle of semidiscretization. The convective and diffusive fluxes are approximated first, and then the resulting set of the ordinary differential equation...
Article
Full-text available
This article reports on the first implementation of a real-time Eulerian photochemical model forecast system in the United States. The forecast system consists of a tripartite set of one-way coupled models that run routinely on a parallel microprocessor supercomputer. The component models are the fifth-generation Pennsylvania State University (PSU)...
Conference Paper
Full-text available
The efforts by the National Oceanic and Atmospheric Administration (NOAA) towards real-time prediction of US Northeast Corridor Ozone are discussed. In the first phase, MAQSIP-RT model forecasts were produced over New England and the Northern Mid-Atlantic, running in real-time at 45km, 15km and 5 km. MAQSIP-RT is able, in forecast mode, to meet sev...
Article
In order to realistically simulate both chemistry and transport of atmospheric organic pollutants, it is indispensable that the applied models explicitly include coupling between different components of the global environment such as atmosphere, hydrosphere, cryosphere and soil system. A model with such properties is presented. The atmospheric part...
Chapter
The prediction of atmospheric transport of chemical constituents has captured attention of scientists since as early as the first attempts to integrate numerically fluid equations in order to forecast weather were made. The overview of the evolution of air quality forecasting starting from the first work by=20 L. F. Richardson, through the seminal,...
Article
The Canadian Hemispheric and Regional Ozone and NO<sub align="right"> x </sub> System (CHRONOS) has been designed for the prediction of atmospheric oxidants on both regional and hemispheric scales. The model simulates dispersion and complex chemistry of nitrogen oxides and volatile organic compounds (VOCs) using inventories of actual anthropogenic...
Article
Full-text available
Recent studies of contaminants under the Canadian Northern Contaminants Program (NCP) have substantially enhanced our understanding of the pathways by which contaminants enter Canada's Arctic and move through terrestrial and marine ecosystems there. Building on a previous review (Barrie et al., Arctic contaminants: sources, occurrence and pathways....
Article
The successful computer simulation of physical processes consists of two complementary stages: (1) the development of a numerical model that represents the physical process and (2) its evaluation. Although less often discussed, the second stage is as important as the first one. In the second stage, the goal is to verify as much as possible that the...
Article
The most common technique used for numerical simulations of tracer mixing is that of the numerical solution of the advection–diffusion equation with the unresolved fluxes parameterized using the similarity theory. Despite correct predictions of the overall directions of transport, models based on a numerical solution of the advection–diffusion equa...
Article
Full-text available
In certain applications the, so-called, bin or sectional models are not adequate to model aerosol or cloud droplets. Therefore, the authors developed a continuous, high-resolution in size model of aerosol. The application of this model to the stratospheric Junge layer is presented. The equations with which to model the aerosol as well as the physic...
Article
The solution of the adjoint tracer transport equation with a properly defined forcing term could be effectively used to evaluate the emission field of atmospheric contaminants. This technique is applicable for a large class of toxic materials either for the verification of the existing emission inventories or, as a sole method, for the assessment o...
Article
The occurrence of high concentrations of ozone in the lower part of the troposphere is considered as one of the most important issues of tropospheric chemistry. The chemical mechanisms of tropospheric ozone formation are complex, and highly variable meteorological conditions contribute additionally to difficulties in an accurate prediction of ozone...
Article
CANFIS is a two-stage data modeling technique to optimize the process of selecting predictors from a large pool of potential predictors. CANFIS models for ground-level O3, particulates, and other pollutants will be produced for each of about 100 Canadian sites. The air-quality models will run twice daily using a small number of predictors isolated...
Article
The paper describes the construction of a dynamic atmospheric sulfur transport model and addresses the issue of long-range atmospheric sulfur transport to the Arctic as an application of the model. The global model includes the dynamics of meteorologial and tracer fields, thermodynamics, cloud processes, turbulent boundary layer mixing, multiple th...
Article
Full-text available
Volcanic eruptions play an important role in the global sulfur cycle of the earth`s atmosphere and have a relatively big influence on potential fluctuations of the atmospheric variables on both subclimatic and climatic scales. The objective of the present study is to establish a quantitative link between a major volcanic eruption and the global dis...
Article
Full-text available
This paper discusses a class of finite-difference approximations to the evolution equations of fluid dynamics. These approximations derive from elementary properties of differential forms. Values of a fluid variable psi at any two points of a space-time continuum are related through the integral of the space-time gradient of psi along an arbitrary...
Article
Full-text available
In our implementation of the predictive cloud-water scheme, the cloud-water equation represents the grid-resolved cloud-water field, whereas the effects of subgrid convective clouds are parameterized with the convective scheme of Kuo. The numerical solution of the advection equation for cloud water is analogous to the solution of the moisture equat...
Article
The Atmospheric Environment Service (AES) of Canada recently used a tracer model to simulate the dispersion of the development of a sophisticated Environmental Emergency Response (EER) system which is currently operational at the Canadian Meteorological Center (CMC). Similar efforts were also undertaken by the meteorological services of other count...
Article
Full-text available
The global scale predictive tracer model designed to simulate atmospheric transport processes as well as a tropospheric and stratospheric chemistry is described. The model consists of a global spectral model and a set of the mass conservation equations coupled through the chemistry terms. The model was tested in both diagnostic and fully predictive...
Article
ABSTRACTA 3-dimensional (3-D) hemispheric tracer model is employed for the long-term simulation of the dispersion of the nuclear debris from the Chernobyl accident. The most important features of the model are a fully three-dimensional advection-diffusion equation and a simple diagnostic parameterization of the boundary-layer mixing, dry deposition...
Article
Full-text available
A 3-dimensional (3-D) hemispheric tracer model is employed for the long-term simulation of the dispersion of the nuclear debris from the Chernobyl accident. The most important features of the model are a fully three-dimensional advection-diffusion equation and a simple diagnostic parameterization of the boundary-layer mixing, dry deposition and wet...
Article
Full-text available
As part of the Canadian Atlantic Storms Program (CASP), a meso‐α scale version of the regional finite‐element model was set up for the short‐term forecasting of East Coast storms during the CASP field phase. The main features of the mesoscale model compared with the operational continental version include a 100‐km resolution over a reduced domain,...
Article
Measurements of cesium-134 and cesium-137 in Greenland snow together with models of long-range transport have been used to assess radionuclide deposition in the Arctic after the Chernobyl accident. The results suggest that a well-defined layer of radioactive cesium is now present in polar glaciers, providing a new reference for estimating snow accu...
Article
An existing state‐of‐the‐art regional meteorological model is coupled through appropriate constituent mass conservation equations to model the long‐range transport of atmospheric pollutants (LRTAP) under restrictive constraints on atmospheric chemistry and deposition. Particular emphasis is given to the importance of a good representation of turbul...
Article
Full-text available
A numerical method for solving the advection‐diffusion equation, based on the semi‐Lagrangian algorithm of Robert (1981, 1982) is described, analysed and evaluated in comparison with other methods through a series of test problems. It is found that this method is generally better than other semi‐Lagrangian methods, and is a viable alternative to ex...
Article
The paper discusses the problem of determining error in trajectory models resulting from inaccuracies of initial fields, such as pollutant emission, wind and precipitation fields. Generally, the estimation of this error is made by comparing calculated values with measured concentrations of a given pollutant. The aim of the numerical experiment desc...

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Projects

Projects (10)
Project
In an age of globe-wide communications, information is the link that unites us. By being able to transmit it in large quantities quickly from continent to continent, we have transformed a largely separate and diverse world into a single global megaloon. The messenger on foot gave way to the information highways worldwide. Anything may be a valuable asset to be compiled, stored, duplicated, sold, stolen and sometimes a source of murder. Many people around the world spend their working day gathering, studying and processing/processing information. Industries have been developed to produce equipment (and software) to store and process information. Organizations have many physical assets that have to be managed, such as products, financial goods and others. Information today requires permanent attention and can be regarded as the most valuable asset, so in so-called knowledge-based economies, information is taking on an increasing share of the cost of doing business successfully. Although we can store it using various physical supports, the information itself is not physical, but abstract and so little purely mental. Knowledge is stored in people's memories, but information is out there in the world. Whatever it is exists somewhere between the physical world around people and the mental of human thought its comprehensive and timely publication is intended to be an essential source of reference for organizational managers to support strategies, control and operational decision-making based on the literature available in the fields of business science and information science, while also providing new opportunities for research in these dynamic and interdisciplinary fields. This text is expected to provide the necessary resources for strategy makers, policy makers, professionals, users and managers to manage information in a sustainable and innovative way.
Project
https://dergipark.org.tr/en/pub/chaos The journal aims to promote original research papers in the area of Chaos Theory and Applications (CHTA) to include practical innovations in Applied Sciences and Engineering. The journal aims to publish in as much detail as possible scientific advances in the field of chaos theory and applications with a focus on the practical and theoretical. The journal publishes regular papers dealing with the following areas, but not limited to: * Chaos theory and chaotic systems, * Recent developments in chaos-based engineering applications, * Chaos in finance and blockchain, * Fractional-order chaotic systems, * Design of analogue circuits of chaotic systems, * Mem-elements-based systems, * Chaos-based embedded system applications * Deterministic and random vibrations, * Mathematical modelling and chaos analysis in engineering, * Complexity in physical, social and biological systems, * Applications to biomedical, data security, control, * Chaos and its dynamics in biological networks, * Applications in astrophysics, space, geophysics, theoretical and structural chemistry, biophysics, social systems, power grids, image and time series processing. Chaos Theory and Applications (CHTA) is published regularly at the end of each following month: No. 1 - June, No. 2 - November.
Project
Contributions are being sought for the special issue of the “Atmosphere” dedicated to Air Quality Prediction. The details are outlined in the following website: http://www.mdpi.com/journal/atmosphere/special_issues/air_quality_prediction