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Modification of the KT numerical method

Research Achievements

Modification of the KT numerical method

During this reporting period IGERT fellow Michael Crochet completed a modification of the Kurganov-Tadmor (KT) finite-volume numerical method to account for special source terms that arise in our multiphase flow model and in similar models describing flows encountered in chemical engineering applications. The KT method is also used by other students in the IGERT group in developing astrophysics simulations. This work could allow researchers to take advantage of the relative simplicity of the KT method and apply it to different types of flows containing the same general class of source terms, while preserving the formal second-order accuracy of the original method. At present the submission of this work to an applied mathematics journal is being considered.