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    all data in memory The SCALE X and SCALE Y commands allow the user to specify the minimum and maximum values on the X and Y axes The SCALE ELEMENT will force the axes to fit the data in data elements to 6 DATA MANIPULATION AUTOPLOT provides several commands which allow the user to manipulate the data once it is in memory SHIFT X and SHIFT Y allow the user to add a positive or negative constant to the X or Y coordinate of a range of data elements MULTIPLY X MULTIPLY Y DIVIDE X and DIVIDE Y allow the user to multiply or divide the X or Y coordinates of a range of data elements by a constant POWER X and POWER Y raise the X or Y coordinates of a range of elements to a power ELEMENT ADD ELEMENT SUBTRACT ELEMENT MULTIPLY and ELEMENT DIVIDE allow the user to create new data elements by performing the stated operations on the X or Y coordinates of existing data elements LOG X LOG Y LN X and LN Y act as toggles to change the X or Y axes to base 10 or natural logarithms All data elements in memory are transformed as are all subsequently created elements The reverse transforms are performed by ALOG X Y and ALN X Y NOTE All AUTOPLOT commands can be abbreviated as much as possible whilst still maintaining uniqueness Thus for example ELEMENT ADD Y can be shortened to EL A Y 7 PICTURE MANAGEMENT This section lists a number of commands used to modify the appearance of the picture on the screen REDRAW causes the screen to be redrawn Any data elements which have been switched off will not be redrawn CLEAR deletes all data elements and clears the screen DOT and BLB act in the same way as PLOT but use different line styles or symbols to join or denote the data points DOT1 DOT2 DOT3 DOT4 and DOT5 denote different dashed lines BLB1 BLB2 BLB3 BLB4 and BLB5 use various symbols to mark the actual data points which are not joined COLOUR is used to draw data elements in one of the available colours If the data element is not on the screen yet it will be drawn with a solid line in the specified colour otherwise it will be redrawn with the current line symbol style TEXT allows the user to annotate the plot using different character sizes and colours KEY allows the user to draw line sections in any of the line or symbol styles It also allows the creation of filled polygons GROUP MAKE allows the user to create groupings of TEXT and KEY items These can then be moved about the screen with a single cursor location using GROUP MOVE LEVEL X and LEVEL Y draws lines parallel to the X or Y coordinates at the specified locations TEXT KEYs and LEVELs are normally deleted on CLEAR This can be unwanted if a complicated annotation has

    Original URL path: http://www.cham.co.uk/phoenics/d_polis/d_enc/auto.htm (2016-02-15)
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    629 635 LN X 2 1 629 635 LN Y 2 1 629 635 LOG 2 0 637 643 LOGO 4 0 645 649 LOG X 2 1 637 643 LOG Y 2 1 637 643 MAGNIFY 2 0 651 657 MULTIPLY 2 0 659 663 MULTIPLY X 2 1 659 663 MULTIPLY Y 2 1 659 663 NORMAL 2 0 665 667 NORMAL X 2 1 665 667 NORMAL Y 2 1 665 667 PAGE 3 0 669 672 PANEL 3 0 674 676 PAUSE 3 0 678 679 PLOT 2 0 681 685 POINTS 2 0 687 690 POWER 3 0 692 696 POWER X 3 1 692 696 POWER Y 3 1 692 696 QUIT 2 0 409 410 RECIPROCAL 3 1 698 700 RECIPROCAL X 3 1 698 700 RECIPROCAL Y 3 1 698 700 REDRAW 1 0 702 705 SAVE 2 0 707 709 SCALE 3 0 711 718 SCALE ELEMENT 1 1 463 469 SCALE X 3 1 720 726 SCALE Y 3 1 720 726 SCREEN 3 0 728 733 SENDP 2 0 735 737 SHIFT 2 0 739 742 SHIFT X 2 1 739 742 SHIFT Y 2 1 739 742 SHOW 3 0 744 751 SHOW ELEMENTS 3 1 753 757 SHOW FILES 3 1 759 763 SHOW GRID 3 3 744 751 SHOW GROUPS 3 3 765 768 SHOW KEYS 3 1 770 773 SHOW TEXT 3 1 775 778 SHOW VARIABLES 3 1 744 751 SLIDE 3 0 780 782 STOP 2 0 409 410 SWAP 2 0 784 791 TEXT 1 0 793 812 TEXT ANGLE 1 2 814 817 TEXT CLEAR 1 2 819 824 TEXT COLOUR 1 2 793 812 TEXT DELETE 1 2 793 812 TEXT KEEP 1 1 793 812 TEXT LIST 1 1 793 812 TEXT MOVE 1 1 793 812 TEXT READ 1 3 793 812 TEXT REPLACE 1 3 793 812 TEXT SAVE 1 2 793 812 TEXT SIZE 1 2 793 812 TEXT UNDERLINE 1 1 793 812 TICK 2 0 903 906 UNEQUAL 2 0 908 910 USE 2 0 912 920 AUTOPLOT HELP additional information The following items are included here because they have no other convenient place in an alphabetically ordered encyclopaedia 1 Autoplot Help 0 0 0 0 ALN X ALN Y ALOG X ALOG Y AXES BIG BLOB BLBn BOX COLOUR COLOUR AXES COLOUR BOX CLOUR LEVEL COLOUR GRID CLEAR COLOUR LEVEL COLOUR GRID CLEAR DOT DATA DATA CLEAR DATA DEL DIVIDE X DIVIDE Y DIGITISE DUMP ELEMENT ON ELEMENT OFF ELEMENT LIST ELEMENT MAKE ELEMENT SAVE ELEMENT ADD ELEMENT SUBTRACT ELEMENT MULTIPLY ELEMENT DIVIDE END ESCAPE EQUAL FILE FILE ADD FILE REPLACE FRAME FULL GRID GRID DEFINE GROUP MAKE GROUP ADD GROUP MOVE GROUP LIST GROUP CLEAR GROUP DELETE HELP KEY KEY CLEAR KEY DELETE KEY MOVE KEY COLOUR KEY REPLACE KEY LIST KEY SAVE KEY READ KEY KEEP LEVEL X LEVEL Y LEVEL CLEAR LEVEL DELETE LEVEL KEEP LITTLE LOG X LOG Y

    Original URL path: http://www.cham.co.uk/phoenics/d_polis/d_enc/autoh.htm (2016-02-15)
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    which is determined by the form of the frictional drag gives an estimate of the relaxation time for the dispersed phase Using the low Reynolds number drag coefficient C d 24 Re for simplicity this time constant becomes d 2 18 n As an example for a particle of 1mm diameter in water viscosity approximately 10 6 m 2 s the relaxation time is about 0 05s this would be reasonable for a flow timescale of about 1s IMPLEMENTATION IN PHOENICS Solution for all volume fractions is carried out simultaneously at the end of the slab solution for the hydrodynamics Simultaneous solution is required because of the strong links between the equations Iteration is used over each cell and over the whole slab For each cell iteration Slip velocities are calculated across each cell face The continuous phase velocity at each cell face is deduced Cell imbalances are computed for each component Volume fractions are adjusted AUXILIARY FORMULAE FOR THE ALGEBRAIC SLIP MODEL Mixture Density r m 1 S PT i r c S PT i r i Mixture Viscosity n m 1 S PT i n c S PT i n i In both cases m refers to the mixture c to the continuous phase and i to the i th dispersed phase PTi is the volume fraction of the i th phase THE CONTINUITY EQUATION The single phase continuity equation can be written as d r dt d r u dx 0 This can also be written as D ln r Dt d u dx 0 Assuming that all phases are incompressible d u dx 0 This implies that knowledge of the density is immaterial for the solution of the continuity equation if the flow is incompressible The continuity condition in terms of volumetric conservation is valid even when the density changes from point to point due to changes in volume fraction This is embodied in GALA Gas And Liquid Algorithm available in PHOENICS ACTIVATION OF THE ALGEBRAIC SLIP MODEL IN PHOENICS The Algebraic Slip Model can be activated from PHOENICS VR It can be selected in the Main menu Models panel from the The simulation is button The number of particles and particle properties can then be specified from Settings The inlet and outlet object dialog boxes will allow the specification of inlet particle volume fractions Should the user wish to activate the model by hand from the Q1 file the following commands are required In Group 7 NAME C1 PT0 volume fraction of the main carrier fluid NAME C2 PT1 volume fraction of disperse phase 1 NAME Cn PTn volume fraction of disperse phase n SOLVE PT0 PT1 PTn SOLVE VFOL STORE DEN1 VISL The SOLVE command for the particles is required so that boundary conditions can be set for each particle The actual simultaneous solution of the particle volume fraction equations is carried out in GXASLP The SOLVE for VFOL allows volume inflow outflow conditions to be set In Group 8 GALA T TERMS VFOL

    Original URL path: http://www.cham.co.uk/phoenics/d_polis/d_lecs/asmlec.htm (2016-02-15)
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  • Advanced multi-phase flow
    slip model Top of file gxaslp htm Subroutine GXASLP Subroutine CONVEL Height of liquid method Top of file gxhol htm Subroutine GXHOL Scalar equation method Top of file gxsurf htm Subroutine GXSURF Subroutine GXSURPRP Interphase forces Top of file gxintp

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    the general idea h Block location Indices LB s the full field variables i Block location Indices LB s Other variables j Block location Indices LB s patch wise variables k Block location Indices LB s BFC Geometrical Quantities l Access to old high low and other dependent variables m The use of the integer function AUX n Further Means of Accessing the Contents of the F array o Single

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    10 TLAST 50 0 and the LSTEP elements of the array TFRAC as TFRAC i i LSTEP 2 0 When the exponent ie the last argument of GRDPWR is 1 0 the grid is therefore uniform When it is greater than 1 0 then low i intervals are smaller than the high i ones and when it is less than 1 0 the reverse is true Example 2 GRDPWR T 10 50 0 2 0 which differs from example 1 in having a negative fourth argument sets the elements of the TFRAC array as TFRAC i 1 0 LSTEP i LSTEP 2 0 The consequence is now that when the exponent is greater than 1 0 the low i intervals are smaller than the high i ones and when it is less than 1 0 the reverse is true Example 3 The above examples represent power law grids starting from the time 0 0 and time TLAST respectively A symmetrical grid consisting of power law grids which start from each end of the dimension and meet in the middle can be formed by inserting a minus sign in front of the number of intervals as in GRDPWR T 10 50 0 2 0 Example 4 GRDPWR can also create so called geometric progression grids in which each interval is a constant factor times its predecessor This is effected by placing a minus sign in front of the third argument thus GRDPWR T 10 50 0 1 1 This has the effect of setting TFRAC i 1 1 1 TFRAC i and of multiplying all the TFRACs by the constant multiplier which ensures that they sum to unity Minus signs in front of the second and third arguments have the same effects as before the former replaces i by LSTEP 1

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    that grid lines of constant IY are not arcs but straight lines If no grid has been specified or the first condition above is not met the default grid is set to a cartesian box of extent XULAST YVLAST and ZWLAST in which the grid is uniformly spaced in each direction See BODY F for further information BFC cell corner coordinates see SETBFC logical Group 6 BFC corner coordinate access in PIL The XC YC and ZC arrays can be accessed on the right and left hand sides of expressions For example XC 1 4 5 6 assigns a value to an element of the X coordinate array YC NX NY NZ prints out a value from the Y coordinate array XX 1 ZC 1 3 5 assigns a value to XX from an expression involving the ZC array The argument indices in the coordinate arrays must be either constants or simple variables For example the following is ILLEGAL ZC 1 NY 1 1 2 BFC geometry initiating restart of see RSTGEO logical Group 6 BFC geometry saving of see SAVGEO logical Group 6 BFC grid check see GRDCHK command Group 6 BFC grid coordinates generation of see MAGIC command Group 6 BFC grid files in AUTOPLOT PHOENICS BFC grid files In this case plots may be made of any grid plane or set of planes viewed along any of the cartesian axes or from an arbitrary 3 D view point BFC grid information naming file for see NAMXYZ character Group 6 BFC grid Satellite arrays see XC YC ZC real arrays Group 6 BFC grid reading corner coordinates of see READCO command Group 6 BFC grid specification commands see GSET Group 6 BFC velocities For BFCs there are two methods of calculating the velocity vector according to two averaging

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    terminal used Suppose you wish to plot three sets of data the first drawn with solid lines the second with dashed lines and the third with small circles at the data points You achieve this by the following sequence of commands DATA PLOT DATA DOT DATA BLOB SCALE The final SCALE ensures that all of the data elements will be shown within the axis window As another example suppose that there is one data element to be shown by small circles and three more all to be shown by finely dashed lines The following command sequence is now required DATA BLOB DATA DATA DATA DOT SCALE Marking data points on a continuous curve Suppose that an element has been represented by a solid curve but that it is desired to mark on this curve the locations of the data points The curve will have been drawn using the PLOT command Subsequent use of BLOB for the same data element without clearing the screen first will achieve the desired result It should be noted however that if the picture is now redrawn the blobs will remain but the solid curve will vanish This could be reinstated by use of PLOT but

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