[mertcan]

Hi everyone I hope you are doing well
First of all I am aware of the fact that QUICK SCHEME has consistent slope (for instance at the left side of node 3 in my attachment same slopes exist) as you can see in my picture/attachment. But I must express that I can prove slopes at the left side of node(like in picture) are equal in QUICK SCHEME(taking the derivative of second order polynomial interpolation) thus it is consistent but I know there are another schemes like VAN LEER or VAN ALBADA SCHEME which are non linear and I can NOT prove how those SCHEMES may be consistent in terms of slopes at the left side of node like QUICK SCHEME. At the centre of length (length between node 2 and node 3 in my attachment) which means left side of node 3 QUICK SCHEME always ensure the consistency of slope and I can prove but HOW DO WE KNOW THAT VAN LEER VAN ALBADA SCHEMES MAY ENSURE THE CONSISTENCY OF slope at the left side of node 3?? How can we PROVE it??

Thanks in advance

[mertcan]

Originally Posted by mertcan

Hi everyone I hope you are doing well
First of all I am aware of the fact that QUICK SCHEME has consistent slope (for instance at the left side of node 3 in my attachment same slopes exist) as you can see in my picture/attachment. But I must express that I can prove slopes at the left side of node(like in picture) are equal in QUICK SCHEME(taking the derivative of second order polynomial interpolation) thus it is consistent but I know there are another schemes like VAN LEER or VAN ALBADA SCHEME which are non linear and I can NOT prove how those SCHEMES may be consistent in terms of slopes at the left side of node like QUICK SCHEME. At the centre of length (length between node 2 and node 3 in my attachment) which means left side of node 3 QUICK SCHEME always ensure the consistency of slope and I can prove but HOW DO WE KNOW THAT VAN LEER VAN ALBADA SCHEMES MAY ENSURE THE CONSISTENCY OF slope at the left side of node 3?? How can we PROVE it??

Thanks in advance

WHY DO NOT I GET ANSWERS?? ıs there a problem??

[mertcan]

Is there anyone who can answer to my question???

[mertcan]

Originally Posted by mertcan

Hi everyone I hope you are doing well
First of all I am aware of the fact that QUICK SCHEME has consistent slope (for instance at the left side of node 3 in my attachment same slopes exist) as you can see in my picture/attachment. But I must express that I can prove slopes at the left side of node(like in picture) are equal in QUICK SCHEME(taking the derivative of second order polynomial interpolation) thus it is consistent but I know there are another schemes like VAN LEER or VAN ALBADA SCHEME which are non linear and I can NOT prove how those SCHEMES may be consistent in terms of slopes at the left side of node like QUICK SCHEME. At the centre of length (length between node 2 and node 3 in my attachment) which means left side of node 3 QUICK SCHEME always ensure the consistency of slope and I can prove but HOW DO WE KNOW THAT VAN LEER VAN ALBADA SCHEMES MAY ENSURE THE CONSISTENCY OF slope at the left side of node 3?? How can we PROVE it??

Thanks in advance

It has been almost 1-2 months since I asked my question. Why anybody is willing to help me?? I consider this forum is aimed at helping people and ensuring the environment where people may have discuss and learn, but why you are so reluctant to have discussion or enable people to be enlightened?? Why Why Why??

[arjun]

Originally Posted by mertcan

Hi everyone I hope you are doing well
First of all I am aware of the fact that QUICK SCHEME has consistent slope (for instance at the left side of node 3 in my attachment same slopes exist) as you can see in my picture/attachment. But I must express that I can prove slopes at the left side of node(like in picture) are equal in QUICK SCHEME(taking the derivative of second order polynomial interpolation) thus it is consistent but I know there are another schemes like VAN LEER or VAN ALBADA SCHEME which are non linear and I can NOT prove how those SCHEMES may be consistent in terms of slopes at the left side of node like QUICK SCHEME. At the centre of length (length between node 2 and node 3 in my attachment) which means left side of node 3 QUICK SCHEME always ensure the consistency of slope and I can prove but HOW DO WE KNOW THAT VAN LEER VAN ALBADA SCHEMES MAY ENSURE THE CONSISTENCY OF slope at the left side of node 3?? How can we PROVE it??

Thanks in advance

I do not understand fully but you should consider the role of limiter.

Here i believe by consistency you mean producing same value from left and right side, that would be property of curve fitting.