High-Order Methods

Modeling large datasets through Multivariate Functional Approximations (MFA) plays a critical role in scientific analysis and …

High-Order SpatioTemporal Schemes.

Scalable Interfaces for Geometry and Mesh-based Applications

Coupled Earth System Models require transfer of field data between multiple components with varying spatial resolutions to determine the correct climate behavior. We present the Metrics for Intercomparison of Remapping Algorithms (MIRA) protocol to evaluate the accuracy, conservation properties, monotonicity and local feature preservation of four different remapper algorithms, for various unstructured mesh problems of interest. Future extensions to more practical use cases are also discussed.

Multivariate Functional Approximation

We investigate the representation of discrete scientific data with a $C^k$ functional model, where $C^k$ denotes $k$-th order …

The modeling of nuclear reactors involves the solution of a multiphysics problem with various time and length scales. This paper deals with the verification aspects associated with a multiphysics code, i.e., the substantiation that the mathematical description of the multiphysics equations are solved correctly (in time and space).