Data repo for ocean test case testing new data assimilation algorithm in an idealized setting* *The research of author Elizabeth Carlson was supported in part by the NSF GRFP grant no. 1610400. This research was supported as part of the Energy Exascale Earth System Model (E3SM) project, funded by the U.S. Department of Energy, Office of Science, Office of Biological and Environmental Research. Luke Van Roekel acknowledges the support of DOE Cooperative Agreement DE-SC0019340. This research used resources provided by the Los Alamos National Laboratory Institutional Computing Program, which is supported by the U.S. Department of Energy National Nuclear Security Administration under Contract No. 89233218CNA000001. The research from author Humberto Godinez presented in this article was supported by the Laboratory Directed Research and Development program of Los Alamos National Laboratory under project number 20160599ECR. Author Adam Larios was partially supported by NSF grants DMS-1716801 and CMMI-1953346. Elizabeth Carlson would like to thank the authors and the rest of the COSIM team at LANL for their hospitality and mentorship. The authors give special thanks to Dr. Philip Wolfram and Dr. Xylar Asay-Davis for their additional help with the physics and code. This research was assigned the LA-UR number LA-UR-21-21353.