Chris Vogl joined the Center for Applied Scientific Computing (CASC) in May 2017 as a postdoctoral researcher working with Carol S. Woodward, becoming a staff scientist in March 2019. Prior to CASC, he worked as a postdoctoral fellow with Randall J. LeVeque in the Department of Applied Mathematics at the University of Washington. He received his Ph.D. in Engineering Science and Applied Mathematics from Northwestern University (2013), advised by Michael J. Miksis and Stephen H. Davis. He received his M.A. in Mathematics from the University of California Los Angeles (2008) and his B.A. degrees in Computer Science and Mathematics from Illinois Wesleyan University (2006).

Google Scholar, ORCID, ResearchGate, Scopus

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Research Interests

Chris's main research interests are in the mathematical modelling of physical phenomena and the numerical techniques necessary to solve the resulting partial differential equations. In particular, he is interested in the following:

• methods for hyperbolic conservation laws
• numerical integration techniques
• computational fluid dynamics
• level set methods
• solving PDEs on a manifold
• adaptive mesh refinement

As for application areas, Chris has worked in earth system modeling, power grid cyber resilience, tokamak plasma simulation, tsunami generation and propagation, non-destructive testing, and vesicle deformation.

Ph.D. Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois

M.A. Applied Mathematics, University of California Los Angeles, Los Angeles, California

B.A Computer Science, Illinois Wesleyan University, Bloomington, Illinois

B.A. Mathematics, Illinois Wesleyan University, Bloomington, Illinois

> peer-reviewed

• Vogl, C.J., Joseph, I., Holec, M., Mesh Refinement for Anisotropic Diffusion in Magnetized Plasmas. Comput. Math. with Appl. 145, 159-174 (2023). doi: 10.1016/j.camwa.2023.06.019
• Zhang. S., Vogl, C.J., Larson, V.E., Bui, Q.M., Wan, H., Rasch, P.J., Woodward, C.S., Removing Numerical Pathologies in a Turbulence Parameterization through Convergence Testing. J. Adv. Model. Earth Sys. 15, 5 (2023). doi: 10.1029/2023MS003633
• Vogl, C.J., Zhang, S., Woodward, C.S., Wan, H., Stinis, P., Improving Time-step Convergence in an Atmosphere Model with Simple Physics: Using Mathematical Rigor to Avoid Nonphysical Behavior in a Parameterization. J. Adv. Model. Earth Sy. 12, 10 (2020). doi: 10.1029/2019MS001974
• Wan, H., Woodward, C.S., Zhang, S., Vogl, C.J., Stinis, P., Rasch, P.J., Zeng, X., Larson, V.E., Singh, B., Improving Time-step Convergence in an Atmosphere Model with Simple Physics: the Impacts of Closure Assymption and Process Coupling. J. Adv. Model. Earth Sy.  12, 10 (2020). doi: 10.1029/2019MS001982
• Vogl, C.J., Steyer, A., Reynolds, D.R., Ullrich, P.A., Woodward, C.S., Evaluation of Implicit-Explicit Runge-Kutta Integrators for the HOMME-NH Dynamical Core. J. Adv. Model. Earth Sy. 11, 4228-4244 (2020). doi: 10.1029/2019MS001700
• Vogl, C.J., LeVeque, R.J., A High-Resolution Finite Volume Seismic Model to Generate Seafloor Deformation for Tsunami Modeling. J. Sci. Comput. 73, 1204-1215 (2017). doi: 10.1007/s10915-017-0459-y
• Vogl, C.J., The Curvature-Augmented Closest Point Method with Vesicle Inextensibility Application. J. Comput. Phys. 345, 818-833 (2017). doi: 10.1016/j.jcp.2017.06.004
• Vogl, C.J., A Curvature-Augmented, REA Approach to the Level Set Method. SIAM J. Sci. Comput. A833-A855 (2016). doi: 10.1137/15M1021258
• Vogl, C.J., Miksis, M.J., Davis, S.H., Salac, D., The Effect of Glass-Forming Sugars on Vesicle Morphology and Water Distribution during Drying. J. R. Soc. Interface 11, 20140646 (2014). doi: 10.1098/rsif.2014.0646
• Gruber, C., Vogl, C.J, Miksis, M.J, Davis, S.H., Anomalous Diffusion Models in the Presence of a Moving Interface. Interfaces and Free Boundaries 15, 181-202 (2013). doi: 10.4171/IFB/300
• Vogl, C.J., Miksis, M.J., Davis, S.H., Moving Boundary Problems Governed by Anomalous Diffusion. Proc. R. Soc. A rspa20120170 (2012). doi: 10.1098/rspa.2012.0170

> conference proceedings

• Erlandson, L., Atkins, Z.R., Fox, A., Vogl, C.J., Miedlar, A., Ponce, C.V., Resilient s-ACD for Asynchronous Collaborative Solutions of Systems of Linear Equations. Proceedings of the 18th Conference on Computer Science and Intelligence Systems 35 441–450 (2023). doi: 10.15439/2023F8932

• Atkins, Z.R., Vogl, C.J., Madduri, A., Duan, N., Miedlar, A.K., Merl, D., Distribution System Voltage Prediction from Smart Inverters using Decentralized Regression.  IEEE Power and Energy Society General Meeting 1-5 (2021). doi: 10.1109/PESGM46819.2021.9637900

• Wilcock, W.S.D., Schmidt, D.A., Vidale, J.E., Harrington, M.J., Bodin, P., Cram, G.S., Delaney, J.R., Gonzalez, F.I., Kelley, D.S., LeVeque, R.J., Manalang, D.A., McGuire, C., Roland, E.C., Stoermer, M.W., Tilley, J.W., Vogl, C.J., Designing an Offshore Geophysical Network in the Pacific Northwestern for Earthquake and Tsunami Early Warning and Hazard Research. Oceans 2016 MTS/IEEE Monterey (2016). doi: 10.1109/OCEANS.2016.7761291
• Hecht, M., Lam, A., Vogl, C.J., A Tool Set for Integrated Software and Hardware Dependability Analysis Using the Architecture Analysis and Design Language (AADL) and Error Model Annex. 16th IEEE International Conference on Engineering of Complex Computer Systems (ICECCS) 361-366 (2011). doi: 10.1109/ICECCS.2011.44

> technical reports

• Vogl, C J, Chapin, S J, Ponce, C V. Robust Decentralized State Estimation. doi: 10.2172/1558336