Efficient High Order Ensemble for Fluid Flow

<p>"This thesis proposes efficient ensemble-based algorithms for solving the full and reduced Magnetohydrodynamics (MHD) equations. The proposed ensemble methods require solving only one linear system with multiple right-hand sides for different realizations, reducing computational cost and simulation time. Four algorithms utilize a Generalized Positive Auxiliary Variable (GPAV) approach and are demonstrated to be second-order accurate and unconditionally stable with respect to the system energy through comprehensive stability analyses and error tests. Two algorithms make use of Artificial Compressibility (AC) to update pressure and a solenoidal constraint for the magnetic field. Numerical simulations are provided to illustrate theoretical results and demonstrate the efficiency and long-time accuracy of the proposed algorithms"--Abstract, p. iv</p>

Name thesis:degree_name

Ph. D. in Computational and Applied Mathematics

Grantor

Missouri University of Science and Technology

Author dc:creator

• Carter, John

• ensemble algorithm
• MHD
• SAV
• Uncertainty Quantification
• unconditional stability
• Mathematics
• Statistics and Probability

Repository record dc:identifier

https://scholarsmine.mst.edu/doctoral_dissertations/3267

OAI identifier oai:identifier

oai:scholarsmine.mst.edu:doctoral_dissertations-4272