@article{coffey_mcmullan_kelley_mcrae_2003, title={Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics}, volume={152}, ISSN={["0377-0427"]}, DOI={10.1016/S0377-0427(02)00697-0}, abstractNote={In this paper we report on a computational study in which a nonsmooth discretization of the Euler equations for flow in a nozzle is solved with splitting method which is in turn globalized with the method of pseudo-transient continuation.}, number={1-2}, journal={JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS}, author={Coffey, T and McMullan, RJ and Kelley, CT and McRae, DS}, year={2003}, month={Mar}, pages={69–81} }
 @article{odman_russell_srivastava_mcrae_2002, title={Simulation of a reacting pollutant puff using an adaptive grid algorithm, by R.K. Srivastava et al. - Reply}, volume={107}, number={D22}, journal={Journal of Geophysical Research. Atmospheres}, author={Odman, M. T. and Russell, A. G. and Srivastava, R. K. and McRae, D. S.}, year={2002}, pages={4644–1} }
 @article{srivastava_mcrae_odman_2001, title={Simulation of a reacting pollutant puff using an adaptive grid algorithm}, volume={106}, ISSN={["2169-897X"]}, DOI={10.1029/2001JD900237}, abstractNote={A new dynamic solution adaptive grid algorithm, DSAGA‐PPM, has been developed for use in air quality modeling. In this paper, this algorithm is described, and is evaluated with a test problem. Cone‐shaped distributions of various chemical species undergoing chemical reactions are rotated to simulate the transport and chemistry processes that occur in the atmosphere. The results obtained by using DSAGA‐PPM are more accurate than those obtained from a static grid with the same number of nodes. The computational cost associated with a static grid solution with the same level of accuracy is prohibitive. Because of its efficient use of computational resources, DSAGA‐PPM has the potential to improve the accuracy, or efficiency, or a combination of both in air quality models.}, number={D20}, journal={JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES}, author={Srivastava, RK and McRae, DS and Odman, MT}, year={2001}, month={Oct}, pages={24245–24257} }
 @article{srivastava_mcrae_odman_2001, title={Simulation of dispersion of a power plant plume using an adaptive grid algorithm}, volume={35}, ISSN={["1352-2310"]}, DOI={10.1016/S1352-2310(01)00263-1}, abstractNote={A new dynamic adaptive grid algorithm has been developed for use in air quality modeling. This algorithm uses a higher order numerical scheme—the piecewise parabolic method (PPM)—for computing advective solution fields; a weight function capable of promoting grid node clustering by moving grid nodes; and a conservative interpolation equation using PPM for redistributing the solution field after movement of grid nodes. Applications of the algorithm to a model problem, in which emissions from a point source disperse through the atmosphere in time, reflect that the algorithm is able to capture not only the regional ozone plume distribution, but also the small-scale plume structure near the source. In contrast, the small-scale plume structure was not captured in the corresponding static grid solution. Performance achieved in model problem simulations indicates that the algorithm has the potential to provide accurate air quality modeling solutions at costs that may be significantly less than those incurred in obtaining equivalent static grid solutions.}, number={28}, journal={ATMOSPHERIC ENVIRONMENT}, author={Srivastava, RK and McRae, DS and Odman, MT}, year={2001}, month={Oct}, pages={4801–4818} }
 @article{srivastava_mcrae_odman_2000, title={An adaptive grid algorithm for air-quality modeling}, volume={165}, ISSN={["1090-2716"]}, DOI={10.1006/jcph.2000.6620}, abstractNote={A new dynamic adaptive grid algorithm has been developed for use in air-quality modeling. This algorithm uses a higher order numerical scheme—the piecewise parabolic method (PPM)—for computing advective solution fields, a weight function capable of promoting grid node clustering by moving grid nodes, and a conservative interpolation equation using PPM for redistributing the solution field after movement of grid nodes. Applications of the algorithm to model problems show that the algorithm provides solutions more accurate than those obtained with static grids. Performance achieved in model problem simulations indicates that the algorithm has the potential to provide accurate air-quality modeling solutions at costs that may be significantly less than those incurred in obtaining equivalent static grid solutions. c ∞ 2000 Academic Press}, number={2}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Srivastava, RK and McRae, DS and Odman, MT}, year={2000}, month={Dec}, pages={437–472} }
 @article{mcrae_2000, title={r-Refinement grid adaptation algorithms and issues}, volume={189}, ISSN={["0045-7825"]}, DOI={10.1016/S0045-7825(99)00372-2}, abstractNote={Issues concerning r-refinement adaptation are discussed in terms of the research underway at North Carolina State University. A brief justification for adaptation is offered and adaptation criteria are stated. The NCSU adaptation algorithms DSAGA and SIERRA are described and results obtained with these algorithms are used to illustrate the adaptation issues. Grid quality, truncation errors added and reduced by adaptation, and current research areas are discussed. Qualitative analysis of grids produced by the adaptive algorithms reveals that conventional standards of grid quality are violated frequently in regions where solution improvement due to adaptation is evident. Alignment of the grid with solution features is shown to be a more appropriate indication of mesh improvement than cell shape. Benefits and weaknesses of r-refinement adaptation are summarized and areas for further research are noted.}, number={4}, journal={COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING}, author={McRae, DS}, year={2000}, pages={1161–1182} }
 @inbook{mcrae_laflin_1999, title={Dynamic grid adaption and grid quality}, booktitle={Handbook of grid generation}, publisher={Boca Raton, FL: CRC Press}, author={McRae, D. S. and Laflin, K. R.}, editor={J. F. Thompson, B. Soni and Weatherill, N. P.Editors}, year={1999}, pages={34/1–3433} }