An Efficient Correction Method to Obtain a Formally Third-Order Accurate Flow Solver for Node-Centered Unstructured Grids

2011 ◽  
Vol 51 (2) ◽  
pp. 375-393 ◽  
Author(s):  
Aaron Katz ◽  
Venkateswaran Sankaran
Keyword(s):  
Unstructured Grids ◽  
Correction Method ◽  
Third Order ◽  
Flow Solver

Development of High-Order Scheme in Unstructured Mesh for Direct Numerical Simulations

2013 ◽  
Author(s):  
H. Q. Yang ◽  
Z. J. Chen ◽  
Jonathan G. Dudley
Keyword(s):  
Degrees Of Freedom ◽  
Unstructured Grids ◽  
Correction Method ◽  
Higher Order ◽  
High Order ◽  
Order Correction ◽  
High Order Accuracy ◽  
Order Accuracy ◽  
High Order Scheme ◽  
Upwind Schemes

There has been a growing interest in higher-order spatial discretization methods due to their potential for delivering high accuracy at reasonable computational overhead for the Direct Numerical Simulation (DNS) of vortex-dominated flows. Many of the existing high-order schemes for unstructured grids use more degrees-of-freedom (DOF) in each cell to achieve high-order accuracy. This paper formulates and demonstrates a high-order correction method for unstructured grids. Using this approach, there is no increase in DOF within each cell. By adding higher order correction terms, higher order accuracy can be achieved. The present technique is innovative in that it can be readily added to existing lower order solvers, it can achieve very high-order accuracy, it is stable, and it can make use of either central or upwind schemes. Many examples are presented and used to demonstrate the high-order accuracy.

scholarly journals SHUTTER-LESS TEMPERATURE-DEPENDENT CORRECTION FOR UNCOOLED THERMAL CAMERA UNDER FAST CHANGING FPA TEMPERATURE

2017 ◽  
Vol XLII-1/W1 ◽  
pp. 619-625 ◽  
Author(s):  
D. Lin ◽  
P. Westfeld ◽  
H.-G. Maas
Keyword(s):  
Correction Method ◽  
Radiometric Calibration ◽  
Thermal Camera ◽  
Temperature Dependent ◽  
Third Order ◽  
Object Temperature ◽  
Order Polynomial ◽  
Temperature Dependant ◽  
Sequential Images ◽  
Gray Values

Conventional temperature-dependant correction methods for uncooled cameras are not so valid for images under the condition of fast changing FPA temperature as usual, therefore, a shutter-less temperature-dependant correction method is proposed here to compensate for these errors and stabilize camera's response only related to the object surface temperature. Firstly, sequential images are divided into the following three categories according to the changing speed of FPA temperature: stable (0°C/min), relatively stable (<0.5°C/min), unstable (>0.5°C/min). Then all of the images are projected into the same level using a second order polynomial relation between FPA temperatures and gray values from stable images. Next, a third order polynomial relation between temporal differences of FPA temperatures and the above corrected images is implemented to eliminate the deviation caused by fast changing FPA temperature. Finally, radiometric calibration is applied to convert image gray values into object temperature values. Experiment results show that our method is more effective for fast changing FPA temperature data than FLIR GEV.

Parallelisation of Pressure Correction Method on Unstructured Grids

1999 ◽  
pp. 451-458
Author(s):  
T.M. Lin ◽  
Y.-C. Chuang ◽  
J.K. Lee ◽  
K.L. Wu ◽  
C.A. Lin
Keyword(s):  
Unstructured Grids ◽  
Correction Method ◽  
Pressure Correction

Towards the Parallelisation of Pressure Correction Method on Unstructured Grids

1998 ◽  
pp. 249-256
Author(s):  
Y.-C. Chuang ◽  
J.K. Lee ◽  
K.L. Wu ◽  
C.A. Lin
Keyword(s):  
Unstructured Grids ◽  
Correction Method ◽  
Pressure Correction

A fast, decomposed pressure correction method for an intrusive stochastic multiphase flow solver

2021 ◽  
Vol 221 ◽  
pp. 104930
Author(s):  
Brian Turnquist ◽  
Mark Owkes
Keyword(s):  
Multiphase Flow ◽  
Correction Method ◽  
Flow Solver ◽  
Pressure Correction

scholarly journals GPU IMPLEMENTATION OF A VISCOUS FLOW SOLVER ON UNSTRUCTURED GRIDS

2016 ◽  
Vol 42 ◽  
pp. 1660167
Author(s):  
TIANHAO XU ◽  
LONG CHEN
Keyword(s):  
Graphics Processing Units ◽  
Stokes Equations ◽  
Unstructured Grids ◽  
Flow Simulation ◽  
Navier Stokes ◽  
Competitive Advantages ◽  
Navier Stokes Equations ◽  
Flow Solver ◽  
Volume Method ◽  
Graphics Processing

Graphics processing units have gained popularities in scientific computing over past several years due to their outstanding parallel computing capability. Computational fluid dynamics applications involve large amounts of calculations, therefore a latest GPU card is preferable of which the peak computing performance and memory bandwidth are much better than a contemporary high-end CPU. We herein focus on the detailed implementation of our GPU targeting Reynolds-averaged Navier-Stokes equations solver based on finite-volume method. The solver employs a vertex-centered scheme on unstructured grids for the sake of being capable of handling complex topologies. Multiple optimizations are carried out to improve the memory accessing performance and kernel utilization. Both steady and unsteady flow simulation cases are carried out using explicit Runge-Kutta scheme. The solver with GPU acceleration in this paper is demonstrated to have competitive advantages over the CPU targeting one.

Pressure-based high order accuracy flow solver on adaptive, mixed type unstructured grids

1996 ◽  
Author(s):  
Y. Jiang ◽  
Z. Wang ◽  
A. Przekwas
Keyword(s):  
Mixed Type ◽  
Unstructured Grids ◽  
High Order ◽  
High Order Accuracy ◽  
Order Accuracy ◽  
Flow Solver

Pressure Correction on Unstructured Meshes Using High Order Convective Modelling

2003 ◽  
Author(s):  
David J. Charlesworth ◽  
Mehrdad Zangeneh
Keyword(s):  
Correction Method ◽  
High Order ◽  
Three Dimensions ◽  
Governing Equations ◽  
Third Order ◽  
Pressure Correction ◽  
Flow Problems ◽  
Dependent Variables ◽  
A Cell ◽  
Derivatives Of

A cell centred, finite volume, pressure correction method for unstructured grids is presented that facilitates the use of high order convective modelling. This is achieved through the use of a least squares technique to calculate first and second partial derivatives of the governing equations dependent variables. These derivatives are then used to construct both second and third order convective models that are bounded, accurate and stable. As an initial test of the effectiveness of these models calculated results are compared with standard laminar flow problems in both two and three dimensions.

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