Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver
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Runnels, Brandon (ORCID:0000000330435227)↗
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Results for “finite difference”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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A hybrid finite difference level set–implicit mesh discontinuous Galerkin method for multi-layer coating flows
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97 MATHEMATICS AND COMPUTING↗
The tensor-train mimetic finite difference method for three-dimensional Maxwell’s wave propagation equations
Not Available
97 MATHEMATICS AND COMPUTING↗
Finite Difference Interpolation for Reduction of Grid-Related Errors in Real-Space Pseudopotential Density Functional Theory
Not Available
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
Scalability of high-performance PDE solvers
Performance tests and analyses are critical to effective high-performance computing software development and are central components in the design and implementation of computational algorithms for achieving faster simulations on existing and future computing architectures for large-scale application problems. In this article, we explore performance and space-time trade-offs for important compute-intensive kernels of large-scale numerical solvers for partial differential equations (PDEs) that govern a wide range of physical applications. We consider a sequence of PDE-motivated bake-off problems designed to establish best practices for efficient high-order simulations across a variety of codes and platforms. We measure peak performance (degrees of freedom per second) on a fixed number of nodes and identify effective code optimization strategies for each architecture. In addition to peak performance, we identify the minimum time to solution at 80% parallel efficiency. The performance analysis is based on spectral and p-type finite elements but is equally applicable to a broad spectrum of numerical PDE discretizations, including finite difference, finite volume, and h-type finite elements.
97 MATHEMATICS AND COMPUTING↗
Local to regional scale simulation of small events with 2D finite differences.
Abstract not provided.
Porritt, Robert↗
A Conservative Six-Equation Multi-Material Method for Compact Finite Differences
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Engineering - Mechanical and civil engineering↗
Reduced-Order Finite-Difference Mode Solutions for Metal Cavities With Symmetry
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Wallace, Jon William [Sandia National Laboratories↗
Application of a finite-difference newton- raphson algorithm to problems of low-thrust trajectory optimization.
Low thrust trajectory optimization, using Newton- Raphson method to solve nonlinear two-point boundary value problem
BOUNDARY VALUE↗
Application of a finite-difference Newton- Raphson algorithm to problems of low-thrust trajectory optimization.
Low thrust trajectory optimization, using Newton- Raphson method to solve nonlinear two-point boundary value problem
TRAJECTORY OPTIMIZATION↗
Explicit finite difference heat transfer program LVVM 25
Analytical methods user instructions, data preparation guide, and sample problem for generalized heat transfer computer routine
Gaddis, J. L.↗
Maximum principle methods for the discretization error in the approximation of the Bergman harmonic kernel by finite difference methods.
Approximation for discretization error of discrete analog of Bergman harmonic kernel, discussing discretization error in Dirichlet and Neumann problems for Laplace equation
Huddleston, R. E.↗
Finite difference solutions of the boundary layer equations
Feasibility of using film cooling as alternate thermal protection system for spacecraft atmospheric reentry
Clausing, A. M.↗
Base recirculation flow prediction using a time-dependent finite-difference technique Final report
Numerical determination of three dimensional base recirculation gas flow from multiple clustered nozzles
Waldrop, W. R.↗
A systematic development of the supersonic flow fields over and behind wings and wing-body configurations using a shock-capturing finite- difference approach
Three dimensional inviscid supersonic flow fields with primary and embedded shock and expansion waves determined over and behind wings and wing-body configurations
Kutler, P.↗
Finite difference solution to the three-dimensional, incompressible thermal energy boundary-layer equation
An implicit numerical method has been adopted for the solution to the three-dimensional, energy boundary-layer equation. The energy equation is written in terms of a dimensionless temperature function, the relative stagnation-enthalpy difference, and transformed by the introduction of a Blasius-type transformation of coordinates as well as dimensionless stream functions. The method is applied to the problem consisting of an infinite cylinder joined with its axis perpendicular to a thin, flat, heated plate. A Prandtl number equal to one is simply considered.
Fillo, J. A.↗