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The macros listed in Table 3.2.20- 3.2.23 can be used to return real face variables in SI units. They are identified by the F_ prefix. Note that these variables are available only in the pressure-based solver. In addition, quantities that are returned are available only if the corresponding physical model is active. For example, species mass fraction is available only if species transport has been enabled in the Species Model dialog box in ANSYS FLUENT. Definitions for these macros can be found in the referenced header files (e.g., mem.h).
Face Centroid (
F_CENTROID)
The macro listed in Table 3.2.20 can be used to obtain the real centroid of a face. F_CENTROID finds the coordinate position of the centroid of the face f and stores the coordinates in the x array. Note that the x array is always one-dimensional, but it can be x[2] or x[3] depending on whether you are using the 2D or 3D solver.
The ND_ND macro returns 2 or 3 in 2D and 3D cases, respectively, as defined in Section 3.4.2. Section 2.3.15 contains an example of F_CENTROID usage.
Face Area Vector (
F_AREA)
F_AREA can be used to return the real face area vector (or `face area normal') of a given face f in a face thread t. See Section 2.7.3 for an example UDF that utilizes F_AREA.
By convention in ANSYS FLUENT, boundary face area normals always point out of the domain. ANSYS FLUENT determines the direction of the face area normals for interior faces by applying the right hand rule to the nodes on a face, in order of increasing node number. This is shown in Figure 3.2.1.
ANSYS FLUENT assigns adjacent cells to an interior face ( c0 and c1) according to the following convention: the cell out of which a face area normal is pointing is designated as cell C0, while the cell in to which a face area normal is pointing is cell c1 (Figure 3.2.1). In other words, face area normals always point from cell c0 to cell c1.
Flow Variable Macros for Boundary Faces
The macros listed in Table 3.2.22 access flow variables at a boundary face.
You can find "Billie Jean" anywhere. But the exclusive reason to hunt down the 2003 Number Ones era is the single "One More Chance." It was a gentle, piano-driven R&B cut that didn't make it onto any other major compilation for years. If you find a 2003 rip that includes a high-quality version of this track without vinyl pops? That’s the holy grail for completionists.
Beyond its format as a search query, this phrase represents a pivotal moment in music history. It marks the intersection of Michael Jackson’s monumental career and the digital revolution that permanently transformed how we consume media. 1. The Context: The Launch of Number Ones (2003)
: "You Rock My World," "Break of Dawn," and the then-unreleased single "One More Chance" , written by R. Kelly. Versions and Packaging
Notes. Greatest hits album and DVD, initially released on November 17, 2003 worldwide and on November 18, 2003 in the United State... Number Ones (Michael Jackson album) - Wikipedia
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In 2003, high-speed broadband was still a luxury for many households. Dial-up internet made downloading individual songs tedious, so entire album downloads were highly sought after.
Michael Jackson — Number Ones: Greatest Hits (2003) [RAR Exclusive] A definitive collection of Michael Jackson’s chart-topping singles, remastered for superior audio clarity. This exclusive 2003 RAR release compiles Jackson’s most iconic No. 1 hits across his groundbreaking solo career, featuring classics like "Billie Jean," "Beat It," "Thriller," and "Black or White." Perfect for collectors and longtime fans, this edition includes high-quality audio files and enhanced booklet notes detailing the songs’ chart histories and production credits.
The inclusion of "One More Chance" elevates Number Ones from a mere retrospective to a historic document. Co-written and produced by R. Kelly, the song is a classic R&B-tinged pop ballad with a heartfelt plea for love. You can find "Billie Jean" anywhere
The mention of "2003 rar exclusive" often points to the digital archival of this specific era. In the early 2000s, digital file compression (like .rar files) was the primary way fans shared exclusive international versions of albums. The Number Ones release varied significantly by region:
Upon its release, Number Ones was a commercial success, confirming that demand for Michael Jackson's music was as strong as ever. It highlighted his ability to dominate music trends across decades—from the funk-driven Off the Wall to the pop perfection of Thriller and the edgy sounds of Dangerous and HIStory .
The tracklist generated by the 2003 release effectively laid the blueprint for Jackson's most-streamed playlists today.
The hunt for exclusive versions is also driven by regional track listings. The European, American, and Japanese versions of Number Ones featured distinct tracks: That’s the holy grail for completionists
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Here is an in-depth look at Number Ones , the significance of its 2003 release, and why it remains a sought-after collection. The Significance of "Number Ones" (2003)
| No. | Track Title | Original Album | Year | | :-- | :--- | :--- | :--- | | 1 | Don't Stop 'Til You Get Enough | Off the Wall | 1979 | | 2 | Rock with You | Off the Wall | 1979 | | 3 | Billie Jean | Thriller | 1982 | | 4 | Beat It | Thriller | 1982 | | 5 | Thriller | Thriller | 1982 | | 6 | Human Nature | Thriller | 1982 | | 7 | I Just Can't Stop Loving You | Bad | 1987 | | 8 | Bad | Bad | 1987 | | 9 | The Way You Make Me Feel | Bad | 1987 | | 10 | Man in the Mirror | Bad | 1987 | | 11 | Dirty Diana | Bad | 1987 | | 12 | Smooth Criminal | Bad | 1987 | | 13 | Black or White | Dangerous | 1991 | | 14 | You Are Not Alone | HIStory | 1995 | | 15 | Earth Song | HIStory | 1995 | | 16 | Blood on the Dance Floor | Blood on the Dance Floor: HIStory in the Mix | 1997 | | 17 | You Rock My World | Invincible | 2001 | | 18 | Break of Dawn | Invincible | 2001 | | 19 | One More Chance | (New Track) | 2003 | Source: Discogs, Michael Jackson Wiki
See Section 2.7.3 for an example UDF that utilizes some of these macros.
Flow Variable Macros at Interior and Boundary Faces
The macros listed in Table 3.2.23 access flow variables at interior faces and boundary faces.
F_FLUX can be used to return the real scalar mass flow rate through a given face f in a face thread t. The sign of F_FLUX that is computed by the ANSYS FLUENT solver is positive if the flow direction is the same as the face area normal direction (as determined by F_AREA - see Section 3.2.4), and is negative if the flow direction and the face area normal directions are opposite. In other words, the flux is positive if the flow is out of the domain, and is negative if the flow is in to the domain.
Note that the sign of the flux that is computed by the solver is opposite to that which is reported in the ANSYS FLUENT GUI (e.g., the Flux Reports dialog box).